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Finding the Fourth Proportional to 582.89, 874.10 and 217.48

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Solution

The fourth proportional to 582.89, 874.10 and 217.48 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.89 : 874.10 = 217.48 : x
  2. Step 2: Convert to fraction form
    582.89/874.10 = 217.48/x
  3. Step 3: Cross multiply
    582.89x = 874.10 × 217.48
  4. Step 4: Simplify right side
    582.89x = 190,099.27
  5. Step 5: Solve for x
    x = 190,099.27/582.89
  6. Step 6: Final answer
    x = 326.13

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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.