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Finding the Fourth Proportional to 616.48, 849.41 and 419.65

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Solution

The fourth proportional to 616.48, 849.41 and 419.65 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.48 : 849.41 = 419.65 : x
  2. Step 2: Convert to fraction form
    616.48/849.41 = 419.65/x
  3. Step 3: Cross multiply
    616.48x = 849.41 × 419.65
  4. Step 4: Simplify right side
    616.48x = 356,454.91
  5. Step 5: Solve for x
    x = 356,454.91/616.48
  6. Step 6: Final answer
    x = 578.21

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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.