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Finding the Fourth Proportional to 574.90, 862.62 and 565.18

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Solution

The fourth proportional to 574.90, 862.62 and 565.18 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.90 : 862.62 = 565.18 : x
  2. Step 2: Convert to fraction form
    574.90/862.62 = 565.18/x
  3. Step 3: Cross multiply
    574.90x = 862.62 × 565.18
  4. Step 4: Simplify right side
    574.90x = 487,535.57
  5. Step 5: Solve for x
    x = 487,535.57/574.90
  6. Step 6: Final answer
    x = 848.04

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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.