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Finding the Fourth Proportional to 531.19, 732.84 and 391.64

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Solution

The fourth proportional to 531.19, 732.84 and 391.64 is: 540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.19 : 732.84 = 391.64 : x
  2. Step 2: Convert to fraction form
    531.19/732.84 = 391.64/x
  3. Step 3: Cross multiply
    531.19x = 732.84 × 391.64
  4. Step 4: Simplify right side
    531.19x = 287,008.52
  5. Step 5: Solve for x
    x = 287,008.52/531.19
  6. Step 6: Final answer
    x = 540.31

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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.