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Finding the Fourth Proportional to 463.92, 695.48 and 175.16

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Solution

The fourth proportional to 463.92, 695.48 and 175.16 is: 262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 695.48 = 175.16 : x
  2. Step 2: Convert to fraction form
    463.92/695.48 = 175.16/x
  3. Step 3: Cross multiply
    463.92x = 695.48 × 175.16
  4. Step 4: Simplify right side
    463.92x = 121,817.66
  5. Step 5: Solve for x
    x = 121,817.66/463.92
  6. Step 6: Final answer
    x = 262.58

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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.