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Finding the Fourth Proportional to 534.31, 736.83 and 354.53

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Solution

The fourth proportional to 534.31, 736.83 and 354.53 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 736.83 = 354.53 : x
  2. Step 2: Convert to fraction form
    534.31/736.83 = 354.53/x
  3. Step 3: Cross multiply
    534.31x = 736.83 × 354.53
  4. Step 4: Simplify right side
    534.31x = 261,228.34
  5. Step 5: Solve for x
    x = 261,228.34/534.31
  6. Step 6: Final answer
    x = 488.91

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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.