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Finding the Fourth Proportional to 634.74, 951.21 and 557.52

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Solution

The fourth proportional to 634.74, 951.21 and 557.52 is: 835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.74 : 951.21 = 557.52 : x
  2. Step 2: Convert to fraction form
    634.74/951.21 = 557.52/x
  3. Step 3: Cross multiply
    634.74x = 951.21 × 557.52
  4. Step 4: Simplify right side
    634.74x = 530,318.60
  5. Step 5: Solve for x
    x = 530,318.60/634.74
  6. Step 6: Final answer
    x = 835.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.