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Finding the Fourth Proportional to 582.57, 874.17 and 217.42

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Solution

The fourth proportional to 582.57, 874.17 and 217.42 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.57 : 874.17 = 217.42 : x
  2. Step 2: Convert to fraction form
    582.57/874.17 = 217.42/x
  3. Step 3: Cross multiply
    582.57x = 874.17 × 217.42
  4. Step 4: Simplify right side
    582.57x = 190,062.04
  5. Step 5: Solve for x
    x = 190,062.04/582.57
  6. Step 6: Final answer
    x = 326.25

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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.