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Finding the Fourth Proportional to 414.96, 572.75 and 257.50

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Solution

The fourth proportional to 414.96, 572.75 and 257.50 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 572.75 = 257.50 : x
  2. Step 2: Convert to fraction form
    414.96/572.75 = 257.50/x
  3. Step 3: Cross multiply
    414.96x = 572.75 × 257.50
  4. Step 4: Simplify right side
    414.96x = 147,482.34
  5. Step 5: Solve for x
    x = 147,482.34/414.96
  6. Step 6: Final answer
    x = 355.41

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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.