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Finding the Fourth Proportional to 531.78, 733.85 and 295.75

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Solution

The fourth proportional to 531.78, 733.85 and 295.75 is: 408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 733.85 = 295.75 : x
  2. Step 2: Convert to fraction form
    531.78/733.85 = 295.75/x
  3. Step 3: Cross multiply
    531.78x = 733.85 × 295.75
  4. Step 4: Simplify right side
    531.78x = 217,034.22
  5. Step 5: Solve for x
    x = 217,034.22/531.78
  6. Step 6: Final answer
    x = 408.12

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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.