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Finding the Fourth Proportional to 616.65, 850.13 and 419.82

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Solution

The fourth proportional to 616.65, 850.13 and 419.82 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.65 : 850.13 = 419.82 : x
  2. Step 2: Convert to fraction form
    616.65/850.13 = 419.82/x
  3. Step 3: Cross multiply
    616.65x = 850.13 × 419.82
  4. Step 4: Simplify right side
    616.65x = 356,897.86
  5. Step 5: Solve for x
    x = 356,897.86/616.65
  6. Step 6: Final answer
    x = 578.77

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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.