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Finding the Fourth Proportional to 574.31, 864.86 and 517.20

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Solution

The fourth proportional to 574.31, 864.86 and 517.20 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.31 : 864.86 = 517.20 : x
  2. Step 2: Convert to fraction form
    574.31/864.86 = 517.20/x
  3. Step 3: Cross multiply
    574.31x = 864.86 × 517.20
  4. Step 4: Simplify right side
    574.31x = 447,303.01
  5. Step 5: Solve for x
    x = 447,303.01/574.31
  6. Step 6: Final answer
    x = 778.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.