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Finding the Fourth Proportional to 463.92, 696.05 and 175.38

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Solution

The fourth proportional to 463.92, 696.05 and 175.38 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 696.05 = 175.38 : x
  2. Step 2: Convert to fraction form
    463.92/696.05 = 175.38/x
  3. Step 3: Cross multiply
    463.92x = 696.05 × 175.38
  4. Step 4: Simplify right side
    463.92x = 122,073.25
  5. Step 5: Solve for x
    x = 122,073.25/463.92
  6. Step 6: Final answer
    x = 263.13

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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.