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Finding the Fourth Proportional to 616.71, 928.67 and 444.56

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Solution

The fourth proportional to 616.71, 928.67 and 444.56 is: 669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 928.67 = 444.56 : x
  2. Step 2: Convert to fraction form
    616.71/928.67 = 444.56/x
  3. Step 3: Cross multiply
    616.71x = 928.67 × 444.56
  4. Step 4: Simplify right side
    616.71x = 412,854.26
  5. Step 5: Solve for x
    x = 412,854.26/616.71
  6. Step 6: Final answer
    x = 669.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.