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Finding the Fourth Proportional to 423.43, 635.46 and 315.25

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Solution

The fourth proportional to 423.43, 635.46 and 315.25 is: 473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.43 : 635.46 = 315.25 : x
  2. Step 2: Convert to fraction form
    423.43/635.46 = 315.25/x
  3. Step 3: Cross multiply
    423.43x = 635.46 × 315.25
  4. Step 4: Simplify right side
    423.43x = 200,328.77
  5. Step 5: Solve for x
    x = 200,328.77/423.43
  6. Step 6: Final answer
    x = 473.11

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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.