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Finding the Fourth Proportional to 607.52, 911.75 and 423.71

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Solution

The fourth proportional to 607.52, 911.75 and 423.71 is: 635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.52 : 911.75 = 423.71 : x
  2. Step 2: Convert to fraction form
    607.52/911.75 = 423.71/x
  3. Step 3: Cross multiply
    607.52x = 911.75 × 423.71
  4. Step 4: Simplify right side
    607.52x = 386,319.34
  5. Step 5: Solve for x
    x = 386,319.34/607.52
  6. Step 6: Final answer
    x = 635.90

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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.