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Finding the Fourth Proportional to 414.83, 572.37 and 282.17

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Solution

The fourth proportional to 414.83, 572.37 and 282.17 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 572.37 = 282.17 : x
  2. Step 2: Convert to fraction form
    414.83/572.37 = 282.17/x
  3. Step 3: Cross multiply
    414.83x = 572.37 × 282.17
  4. Step 4: Simplify right side
    414.83x = 161,506.02
  5. Step 5: Solve for x
    x = 161,506.02/414.83
  6. Step 6: Final answer
    x = 389.33

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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.