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Finding the Fourth Proportional to 542.16, 809.64 and 514.08

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Solution

The fourth proportional to 542.16, 809.64 and 514.08 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 809.64 = 514.08 : x
  2. Step 2: Convert to fraction form
    542.16/809.64 = 514.08/x
  3. Step 3: Cross multiply
    542.16x = 809.64 × 514.08
  4. Step 4: Simplify right side
    542.16x = 416,219.73
  5. Step 5: Solve for x
    x = 416,219.73/542.16
  6. Step 6: Final answer
    x = 767.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.