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Finding the Fourth Proportional to 531.87, 733.70 and 366.17

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Solution

The fourth proportional to 531.87, 733.70 and 366.17 is: 505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.87 : 733.70 = 366.17 : x
  2. Step 2: Convert to fraction form
    531.87/733.70 = 366.17/x
  3. Step 3: Cross multiply
    531.87x = 733.70 × 366.17
  4. Step 4: Simplify right side
    531.87x = 268,653.43
  5. Step 5: Solve for x
    x = 268,653.43/531.87
  6. Step 6: Final answer
    x = 505.11

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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.