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Finding the Fourth Proportional to 414, 616.86 and 389.16

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Solution

The fourth proportional to 414, 616.86 and 389.16 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 616.86 = 389.16 : x
  2. Step 2: Convert to fraction form
    414/616.86 = 389.16/x
  3. Step 3: Cross multiply
    414x = 616.86 × 389.16
  4. Step 4: Simplify right side
    414x = 240,057.24
  5. Step 5: Solve for x
    x = 240,057.24/414
  6. Step 6: Final answer
    x = 579.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.