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Finding the Fourth Proportional to 582, 872.96 and 197.24

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Solution

The fourth proportional to 582, 872.96 and 197.24 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 872.96 = 197.24 : x
  2. Step 2: Convert to fraction form
    582/872.96 = 197.24/x
  3. Step 3: Cross multiply
    582x = 872.96 × 197.24
  4. Step 4: Simplify right side
    582x = 172,182.63
  5. Step 5: Solve for x
    x = 172,182.63/582
  6. Step 6: Final answer
    x = 295.85

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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.