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Finding the Fourth Proportional to 424.34, 635.42 and 355.50

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Solution

The fourth proportional to 424.34, 635.42 and 355.50 is: 532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.34 : 635.42 = 355.50 : x
  2. Step 2: Convert to fraction form
    424.34/635.42 = 355.50/x
  3. Step 3: Cross multiply
    424.34x = 635.42 × 355.50
  4. Step 4: Simplify right side
    424.34x = 225,891.81
  5. Step 5: Solve for x
    x = 225,891.81/424.34
  6. Step 6: Final answer
    x = 532.34

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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.