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Finding the Fourth Proportional to 524.01, 722.73 and 314.22

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Solution

The fourth proportional to 524.01, 722.73 and 314.22 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.01 : 722.73 = 314.22 : x
  2. Step 2: Convert to fraction form
    524.01/722.73 = 314.22/x
  3. Step 3: Cross multiply
    524.01x = 722.73 × 314.22
  4. Step 4: Simplify right side
    524.01x = 227,096.22
  5. Step 5: Solve for x
    x = 227,096.22/524.01
  6. Step 6: Final answer
    x = 433.38

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.