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Finding the Fourth Proportional to 574.20, 862.10 and 452.60

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Solution

The fourth proportional to 574.20, 862.10 and 452.60 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 862.10 = 452.60 : x
  2. Step 2: Convert to fraction form
    574.20/862.10 = 452.60/x
  3. Step 3: Cross multiply
    574.20x = 862.10 × 452.60
  4. Step 4: Simplify right side
    574.20x = 390,186.46
  5. Step 5: Solve for x
    x = 390,186.46/574.20
  6. Step 6: Final answer
    x = 679.53

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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.