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Finding the Fourth Proportional to 414.80, 572.68 and 284.08

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Solution

The fourth proportional to 414.80, 572.68 and 284.08 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 572.68 = 284.08 : x
  2. Step 2: Convert to fraction form
    414.80/572.68 = 284.08/x
  3. Step 3: Cross multiply
    414.80x = 572.68 × 284.08
  4. Step 4: Simplify right side
    414.80x = 162,686.93
  5. Step 5: Solve for x
    x = 162,686.93/414.80
  6. Step 6: Final answer
    x = 392.21

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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.