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Finding the Fourth Proportional to 658.16, 986.53 and 333.55

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Solution

The fourth proportional to 658.16, 986.53 and 333.55 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 986.53 = 333.55 : x
  2. Step 2: Convert to fraction form
    658.16/986.53 = 333.55/x
  3. Step 3: Cross multiply
    658.16x = 986.53 × 333.55
  4. Step 4: Simplify right side
    658.16x = 329,056.25
  5. Step 5: Solve for x
    x = 329,056.25/658.16
  6. Step 6: Final answer
    x = 499.97

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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.