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Finding the Fourth Proportional to 423.47, 635.10 and 149.53

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Solution

The fourth proportional to 423.47, 635.10 and 149.53 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.47 : 635.10 = 149.53 : x
  2. Step 2: Convert to fraction form
    423.47/635.10 = 149.53/x
  3. Step 3: Cross multiply
    423.47x = 635.10 × 149.53
  4. Step 4: Simplify right side
    423.47x = 94,964.17
  5. Step 5: Solve for x
    x = 94,964.17/423.47
  6. Step 6: Final answer
    x = 224.25

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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.