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Finding the Fourth Proportional to 414.56, 572.28 and 259.76

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Solution

The fourth proportional to 414.56, 572.28 and 259.76 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 572.28 = 259.76 : x
  2. Step 2: Convert to fraction form
    414.56/572.28 = 259.76/x
  3. Step 3: Cross multiply
    414.56x = 572.28 × 259.76
  4. Step 4: Simplify right side
    414.56x = 148,655.45
  5. Step 5: Solve for x
    x = 148,655.45/414.56
  6. Step 6: Final answer
    x = 358.59

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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.