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Finding the Fourth Proportional to 524.01, 723.08 and 314.18

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Solution

The fourth proportional to 524.01, 723.08 and 314.18 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.01 : 723.08 = 314.18 : x
  2. Step 2: Convert to fraction form
    524.01/723.08 = 314.18/x
  3. Step 3: Cross multiply
    524.01x = 723.08 × 314.18
  4. Step 4: Simplify right side
    524.01x = 227,177.27
  5. Step 5: Solve for x
    x = 227,177.27/524.01
  6. Step 6: Final answer
    x = 433.54

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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.