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Finding the Fourth Proportional to 463.97, 695.74 and 175.20

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Solution

The fourth proportional to 463.97, 695.74 and 175.20 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 695.74 = 175.20 : x
  2. Step 2: Convert to fraction form
    463.97/695.74 = 175.20/x
  3. Step 3: Cross multiply
    463.97x = 695.74 × 175.20
  4. Step 4: Simplify right side
    463.97x = 121,893.21
  5. Step 5: Solve for x
    x = 121,893.21/463.97
  6. Step 6: Final answer
    x = 262.72

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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.