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Finding the Fourth Proportional to 423.91, 635.86 and 135.35

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Solution

The fourth proportional to 423.91, 635.86 and 135.35 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.91 : 635.86 = 135.35 : x
  2. Step 2: Convert to fraction form
    423.91/635.86 = 135.35/x
  3. Step 3: Cross multiply
    423.91x = 635.86 × 135.35
  4. Step 4: Simplify right side
    423.91x = 86,061.72
  5. Step 5: Solve for x
    x = 86,061.72/423.91
  6. Step 6: Final answer
    x = 203.02

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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.