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Finding the Fourth Proportional to 582.59, 874.00 and 217.37

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Solution

The fourth proportional to 582.59, 874.00 and 217.37 is: 326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.59 : 874.00 = 217.37 : x
  2. Step 2: Convert to fraction form
    582.59/874.00 = 217.37/x
  3. Step 3: Cross multiply
    582.59x = 874.00 × 217.37
  4. Step 4: Simplify right side
    582.59x = 189,982.91
  5. Step 5: Solve for x
    x = 189,982.91/582.59
  6. Step 6: Final answer
    x = 326.10

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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.