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Finding the Fourth Proportional to 582.28, 873.54 and 197.56

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Solution

The fourth proportional to 582.28, 873.54 and 197.56 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.28 : 873.54 = 197.56 : x
  2. Step 2: Convert to fraction form
    582.28/873.54 = 197.56/x
  3. Step 3: Cross multiply
    582.28x = 873.54 × 197.56
  4. Step 4: Simplify right side
    582.28x = 172,576.56
  5. Step 5: Solve for x
    x = 172,576.56/582.28
  6. Step 6: Final answer
    x = 296.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.