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Finding the Fourth Proportional to 613.65, 847.07 and 392.79

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Solution

The fourth proportional to 613.65, 847.07 and 392.79 is: 542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.65 : 847.07 = 392.79 : x
  2. Step 2: Convert to fraction form
    613.65/847.07 = 392.79/x
  3. Step 3: Cross multiply
    613.65x = 847.07 × 392.79
  4. Step 4: Simplify right side
    613.65x = 332,720.63
  5. Step 5: Solve for x
    x = 332,720.63/613.65
  6. Step 6: Final answer
    x = 542.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.