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Finding the Fourth Proportional to 658.28, 982.28 and 600.06

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Solution

The fourth proportional to 658.28, 982.28 and 600.06 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.28 : 982.28 = 600.06 : x
  2. Step 2: Convert to fraction form
    658.28/982.28 = 600.06/x
  3. Step 3: Cross multiply
    658.28x = 982.28 × 600.06
  4. Step 4: Simplify right side
    658.28x = 589,432.12
  5. Step 5: Solve for x
    x = 589,432.12/658.28
  6. Step 6: Final answer
    x = 895.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.