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Finding the Fourth Proportional to 463.78, 695.77 and 175.22

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Solution

The fourth proportional to 463.78, 695.77 and 175.22 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 695.77 = 175.22 : x
  2. Step 2: Convert to fraction form
    463.78/695.77 = 175.22/x
  3. Step 3: Cross multiply
    463.78x = 695.77 × 175.22
  4. Step 4: Simplify right side
    463.78x = 121,912.50
  5. Step 5: Solve for x
    x = 121,912.50/463.78
  6. Step 6: Final answer
    x = 262.87

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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.