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Finding the Fourth Proportional to 414.77, 572.04 and 290.52

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Solution

The fourth proportional to 414.77, 572.04 and 290.52 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 572.04 = 290.52 : x
  2. Step 2: Convert to fraction form
    414.77/572.04 = 290.52/x
  3. Step 3: Cross multiply
    414.77x = 572.04 × 290.52
  4. Step 4: Simplify right side
    414.77x = 166,189.06
  5. Step 5: Solve for x
    x = 166,189.06/414.77
  6. Step 6: Final answer
    x = 400.68

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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.