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Finding the Fourth Proportional to 617.28, 926.22 and 424.50

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Solution

The fourth proportional to 617.28, 926.22 and 424.50 is: 636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 926.22 = 424.50 : x
  2. Step 2: Convert to fraction form
    617.28/926.22 = 424.50/x
  3. Step 3: Cross multiply
    617.28x = 926.22 × 424.50
  4. Step 4: Simplify right side
    617.28x = 393,180.39
  5. Step 5: Solve for x
    x = 393,180.39/617.28
  6. Step 6: Final answer
    x = 636.96

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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.