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Finding the Fourth Proportional to 423.12, 634.36 and 252.08

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Solution

The fourth proportional to 423.12, 634.36 and 252.08 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 634.36 = 252.08 : x
  2. Step 2: Convert to fraction form
    423.12/634.36 = 252.08/x
  3. Step 3: Cross multiply
    423.12x = 634.36 × 252.08
  4. Step 4: Simplify right side
    423.12x = 159,909.47
  5. Step 5: Solve for x
    x = 159,909.47/423.12
  6. Step 6: Final answer
    x = 377.93

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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.