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Finding the Fourth Proportional to 531.56, 733.54 and 295.50

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Solution

The fourth proportional to 531.56, 733.54 and 295.50 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 733.54 = 295.50 : x
  2. Step 2: Convert to fraction form
    531.56/733.54 = 295.50/x
  3. Step 3: Cross multiply
    531.56x = 733.54 × 295.50
  4. Step 4: Simplify right side
    531.56x = 216,761.07
  5. Step 5: Solve for x
    x = 216,761.07/531.56
  6. Step 6: Final answer
    x = 407.78

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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.