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Finding the Fourth Proportional to 524.33, 723.57 and 291.45

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Solution

The fourth proportional to 524.33, 723.57 and 291.45 is: 402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.33 : 723.57 = 291.45 : x
  2. Step 2: Convert to fraction form
    524.33/723.57 = 291.45/x
  3. Step 3: Cross multiply
    524.33x = 723.57 × 291.45
  4. Step 4: Simplify right side
    524.33x = 210,884.48
  5. Step 5: Solve for x
    x = 210,884.48/524.33
  6. Step 6: Final answer
    x = 402.20

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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.