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Finding the Fourth Proportional to 424.20, 635.49 and 355.08

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Solution

The fourth proportional to 424.20, 635.49 and 355.08 is: 531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.20 : 635.49 = 355.08 : x
  2. Step 2: Convert to fraction form
    424.20/635.49 = 355.08/x
  3. Step 3: Cross multiply
    424.20x = 635.49 × 355.08
  4. Step 4: Simplify right side
    424.20x = 225,649.79
  5. Step 5: Solve for x
    x = 225,649.79/424.20
  6. Step 6: Final answer
    x = 531.94

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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.