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Finding the Fourth Proportional to 616.89, 851.27 and 347.70

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Solution

The fourth proportional to 616.89, 851.27 and 347.70 is: 479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 851.27 = 347.70 : x
  2. Step 2: Convert to fraction form
    616.89/851.27 = 347.70/x
  3. Step 3: Cross multiply
    616.89x = 851.27 × 347.70
  4. Step 4: Simplify right side
    616.89x = 295,986.58
  5. Step 5: Solve for x
    x = 295,986.58/616.89
  6. Step 6: Final answer
    x = 479.80

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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.