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Finding the Fourth Proportional to 414.84, 572.52 and 257.48

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Solution

The fourth proportional to 414.84, 572.52 and 257.48 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.52 = 257.48 : x
  2. Step 2: Convert to fraction form
    414.84/572.52 = 257.48/x
  3. Step 3: Cross multiply
    414.84x = 572.52 × 257.48
  4. Step 4: Simplify right side
    414.84x = 147,412.45
  5. Step 5: Solve for x
    x = 147,412.45/414.84
  6. Step 6: Final answer
    x = 355.35

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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.