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Finding the Fourth Proportional to 552.80, 829.20 and 463.70

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Solution

The fourth proportional to 552.80, 829.20 and 463.70 is: 695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.80 : 829.20 = 463.70 : x
  2. Step 2: Convert to fraction form
    552.80/829.20 = 463.70/x
  3. Step 3: Cross multiply
    552.80x = 829.20 × 463.70
  4. Step 4: Simplify right side
    552.80x = 384,500.04
  5. Step 5: Solve for x
    x = 384,500.04/552.80
  6. Step 6: Final answer
    x = 695.55

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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.