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Finding the Fourth Proportional to 414.88, 572.28 and 290.36

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Solution

The fourth proportional to 414.88, 572.28 and 290.36 is: 400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 572.28 = 290.36 : x
  2. Step 2: Convert to fraction form
    414.88/572.28 = 290.36/x
  3. Step 3: Cross multiply
    414.88x = 572.28 × 290.36
  4. Step 4: Simplify right side
    414.88x = 166,167.22
  5. Step 5: Solve for x
    x = 166,167.22/414.88
  6. Step 6: Final answer
    x = 400.52

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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.