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Finding the Fourth Proportional to 582.88, 874.31 and 198.13

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Solution

The fourth proportional to 582.88, 874.31 and 198.13 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 874.31 = 198.13 : x
  2. Step 2: Convert to fraction form
    582.88/874.31 = 198.13/x
  3. Step 3: Cross multiply
    582.88x = 874.31 × 198.13
  4. Step 4: Simplify right side
    582.88x = 173,227.04
  5. Step 5: Solve for x
    x = 173,227.04/582.88
  6. Step 6: Final answer
    x = 297.19

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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.