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Finding the Fourth Proportional to 658.35, 986.83 and 293.39

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Solution

The fourth proportional to 658.35, 986.83 and 293.39 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.35 : 986.83 = 293.39 : x
  2. Step 2: Convert to fraction form
    658.35/986.83 = 293.39/x
  3. Step 3: Cross multiply
    658.35x = 986.83 × 293.39
  4. Step 4: Simplify right side
    658.35x = 289,526.05
  5. Step 5: Solve for x
    x = 289,526.05/658.35
  6. Step 6: Final answer
    x = 439.78

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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.