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Finding the Fourth Proportional to 463.52, 695.28 and 121.52

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Solution

The fourth proportional to 463.52, 695.28 and 121.52 is: 182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 695.28 = 121.52 : x
  2. Step 2: Convert to fraction form
    463.52/695.28 = 121.52/x
  3. Step 3: Cross multiply
    463.52x = 695.28 × 121.52
  4. Step 4: Simplify right side
    463.52x = 84,490.43
  5. Step 5: Solve for x
    x = 84,490.43/463.52
  6. Step 6: Final answer
    x = 182.28

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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.