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Finding the Fourth Proportional to 663.15, 996.98 and 542.29

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Solution

The fourth proportional to 663.15, 996.98 and 542.29 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 996.98 = 542.29 : x
  2. Step 2: Convert to fraction form
    663.15/996.98 = 542.29/x
  3. Step 3: Cross multiply
    663.15x = 996.98 × 542.29
  4. Step 4: Simplify right side
    663.15x = 540,649.57
  5. Step 5: Solve for x
    x = 540,649.57/663.15
  6. Step 6: Final answer
    x = 815.27

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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.