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Finding the Fourth Proportional to 582.02, 872.49 and 197.18

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Solution

The fourth proportional to 582.02, 872.49 and 197.18 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 872.49 = 197.18 : x
  2. Step 2: Convert to fraction form
    582.02/872.49 = 197.18/x
  3. Step 3: Cross multiply
    582.02x = 872.49 × 197.18
  4. Step 4: Simplify right side
    582.02x = 172,037.58
  5. Step 5: Solve for x
    x = 172,037.58/582.02
  6. Step 6: Final answer
    x = 295.59

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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.