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Finding the Fourth Proportional to 424.35, 636.57 and 150.42

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Solution

The fourth proportional to 424.35, 636.57 and 150.42 is: 225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 636.57 = 150.42 : x
  2. Step 2: Convert to fraction form
    424.35/636.57 = 150.42/x
  3. Step 3: Cross multiply
    424.35x = 636.57 × 150.42
  4. Step 4: Simplify right side
    424.35x = 95,752.86
  5. Step 5: Solve for x
    x = 95,752.86/424.35
  6. Step 6: Final answer
    x = 225.65

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