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Finding the Fourth Proportional to 616.84, 851.19 and 442.46

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Solution

The fourth proportional to 616.84, 851.19 and 442.46 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 851.19 = 442.46 : x
  2. Step 2: Convert to fraction form
    616.84/851.19 = 442.46/x
  3. Step 3: Cross multiply
    616.84x = 851.19 × 442.46
  4. Step 4: Simplify right side
    616.84x = 376,617.53
  5. Step 5: Solve for x
    x = 376,617.53/616.84
  6. Step 6: Final answer
    x = 610.56

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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.