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Finding the Fourth Proportional to 582, 873 and 197.25

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Solution

The fourth proportional to 582, 873 and 197.25 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 873 = 197.25 : x
  2. Step 2: Convert to fraction form
    582/873 = 197.25/x
  3. Step 3: Cross multiply
    582x = 873 × 197.25
  4. Step 4: Simplify right side
    582x = 172,199.25
  5. Step 5: Solve for x
    x = 172,199.25/582
  6. Step 6: Final answer
    x = 295.88

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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.