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Finding the Fourth Proportional to 414.48, 572.16 and 290.16

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Solution

The fourth proportional to 414.48, 572.16 and 290.16 is: 400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 572.16 = 290.16 : x
  2. Step 2: Convert to fraction form
    414.48/572.16 = 290.16/x
  3. Step 3: Cross multiply
    414.48x = 572.16 × 290.16
  4. Step 4: Simplify right side
    414.48x = 166,017.95
  5. Step 5: Solve for x
    x = 166,017.95/414.48
  6. Step 6: Final answer
    x = 400.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.