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Finding the Fourth Proportional to 424.56, 585.66 and 291.79

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Solution

The fourth proportional to 424.56, 585.66 and 291.79 is: 402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 585.66 = 291.79 : x
  2. Step 2: Convert to fraction form
    424.56/585.66 = 291.79/x
  3. Step 3: Cross multiply
    424.56x = 585.66 × 291.79
  4. Step 4: Simplify right side
    424.56x = 170,889.73
  5. Step 5: Solve for x
    x = 170,889.73/424.56
  6. Step 6: Final answer
    x = 402.51

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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.