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Finding the Fourth Proportional to 414.79, 572.06 and 257.31

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Solution

The fourth proportional to 414.79, 572.06 and 257.31 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.79 : 572.06 = 257.31 : x
  2. Step 2: Convert to fraction form
    414.79/572.06 = 257.31/x
  3. Step 3: Cross multiply
    414.79x = 572.06 × 257.31
  4. Step 4: Simplify right side
    414.79x = 147,197.40
  5. Step 5: Solve for x
    x = 147,197.40/414.79
  6. Step 6: Final answer
    x = 354.87

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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.