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Finding the Fourth Proportional to 531.10, 733.12 and 366.12

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Solution

The fourth proportional to 531.10, 733.12 and 366.12 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.10 : 733.12 = 366.12 : x
  2. Step 2: Convert to fraction form
    531.10/733.12 = 366.12/x
  3. Step 3: Cross multiply
    531.10x = 733.12 × 366.12
  4. Step 4: Simplify right side
    531.10x = 268,409.89
  5. Step 5: Solve for x
    x = 268,409.89/531.10
  6. Step 6: Final answer
    x = 505.38

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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.