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Finding the Fourth Proportional to 531.85, 734.25 and 374.71

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Solution

The fourth proportional to 531.85, 734.25 and 374.71 is: 517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.85 : 734.25 = 374.71 : x
  2. Step 2: Convert to fraction form
    531.85/734.25 = 374.71/x
  3. Step 3: Cross multiply
    531.85x = 734.25 × 374.71
  4. Step 4: Simplify right side
    531.85x = 275,130.82
  5. Step 5: Solve for x
    x = 275,130.82/531.85
  6. Step 6: Final answer
    x = 517.31

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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.