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Finding the Fourth Proportional to 531.46, 733.40 and 292.19

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Solution

The fourth proportional to 531.46, 733.40 and 292.19 is: 403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.46 : 733.40 = 292.19 : x
  2. Step 2: Convert to fraction form
    531.46/733.40 = 292.19/x
  3. Step 3: Cross multiply
    531.46x = 733.40 × 292.19
  4. Step 4: Simplify right side
    531.46x = 214,290.77
  5. Step 5: Solve for x
    x = 214,290.77/531.46
  6. Step 6: Final answer
    x = 403.21

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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.