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Finding the Fourth Proportional to 415.96, 574.30 and 268.84

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Solution

The fourth proportional to 415.96, 574.30 and 268.84 is: 371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 574.30 = 268.84 : x
  2. Step 2: Convert to fraction form
    415.96/574.30 = 268.84/x
  3. Step 3: Cross multiply
    415.96x = 574.30 × 268.84
  4. Step 4: Simplify right side
    415.96x = 154,394.81
  5. Step 5: Solve for x
    x = 154,394.81/415.96
  6. Step 6: Final answer
    x = 371.18

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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.