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Finding the Fourth Proportional to 658.44, 986.40 and 496.80

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Solution

The fourth proportional to 658.44, 986.40 and 496.80 is: 744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.44 : 986.40 = 496.80 : x
  2. Step 2: Convert to fraction form
    658.44/986.40 = 496.80/x
  3. Step 3: Cross multiply
    658.44x = 986.40 × 496.80
  4. Step 4: Simplify right side
    658.44x = 490,043.52
  5. Step 5: Solve for x
    x = 490,043.52/658.44
  6. Step 6: Final answer
    x = 744.25

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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.