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Finding the Fourth Proportional to 531.56, 731.60 and 426.28

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Solution

The fourth proportional to 531.56, 731.60 and 426.28 is: 586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 731.60 = 426.28 : x
  2. Step 2: Convert to fraction form
    531.56/731.60 = 426.28/x
  3. Step 3: Cross multiply
    531.56x = 731.60 × 426.28
  4. Step 4: Simplify right side
    531.56x = 311,866.45
  5. Step 5: Solve for x
    x = 311,866.45/531.56
  6. Step 6: Final answer
    x = 586.70

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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.