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Finding the Fourth Proportional to 431.92, 648.15 and 175.42

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Solution

The fourth proportional to 431.92, 648.15 and 175.42 is: 263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 648.15 = 175.42 : x
  2. Step 2: Convert to fraction form
    431.92/648.15 = 175.42/x
  3. Step 3: Cross multiply
    431.92x = 648.15 × 175.42
  4. Step 4: Simplify right side
    431.92x = 113,698.47
  5. Step 5: Solve for x
    x = 113,698.47/431.92
  6. Step 6: Final answer
    x = 263.24

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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.