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Finding the Fourth Proportional to 531.65, 733.32 and 414

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Solution

The fourth proportional to 531.65, 733.32 and 414 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.65 : 733.32 = 414 : x
  2. Step 2: Convert to fraction form
    531.65/733.32 = 414/x
  3. Step 3: Cross multiply
    531.65x = 733.32 × 414
  4. Step 4: Simplify right side
    531.65x = 303,594.48
  5. Step 5: Solve for x
    x = 303,594.48/531.65
  6. Step 6: Final answer
    x = 571.04

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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.