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Finding the Fourth Proportional to 463.57, 695.22 and 174.94

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Solution

The fourth proportional to 463.57, 695.22 and 174.94 is: 262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 695.22 = 174.94 : x
  2. Step 2: Convert to fraction form
    463.57/695.22 = 174.94/x
  3. Step 3: Cross multiply
    463.57x = 695.22 × 174.94
  4. Step 4: Simplify right side
    463.57x = 121,621.79
  5. Step 5: Solve for x
    x = 121,621.79/463.57
  6. Step 6: Final answer
    x = 262.36

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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.