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Finding the Fourth Proportional to 531.74, 733.75 and 400.52

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Solution

The fourth proportional to 531.74, 733.75 and 400.52 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 733.75 = 400.52 : x
  2. Step 2: Convert to fraction form
    531.74/733.75 = 400.52/x
  3. Step 3: Cross multiply
    531.74x = 733.75 × 400.52
  4. Step 4: Simplify right side
    531.74x = 293,882.38
  5. Step 5: Solve for x
    x = 293,882.38/531.74
  6. Step 6: Final answer
    x = 552.68

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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.