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Finding the Fourth Proportional to 414.54, 572.27 and 290.30

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Solution

The fourth proportional to 414.54, 572.27 and 290.30 is: 400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 572.27 = 290.30 : x
  2. Step 2: Convert to fraction form
    414.54/572.27 = 290.30/x
  3. Step 3: Cross multiply
    414.54x = 572.27 × 290.30
  4. Step 4: Simplify right side
    414.54x = 166,125.67
  5. Step 5: Solve for x
    x = 166,125.67/414.54
  6. Step 6: Final answer
    x = 400.75

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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.