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Finding the Fourth Proportional to 414.63, 572.22 and 257.40

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Solution

The fourth proportional to 414.63, 572.22 and 257.40 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 572.22 = 257.40 : x
  2. Step 2: Convert to fraction form
    414.63/572.22 = 257.40/x
  3. Step 3: Cross multiply
    414.63x = 572.22 × 257.40
  4. Step 4: Simplify right side
    414.63x = 147,289.43
  5. Step 5: Solve for x
    x = 147,289.43/414.63
  6. Step 6: Final answer
    x = 355.23

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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.