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Finding the Fourth Proportional to 415.98, 574.05 and 268.67

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Solution

The fourth proportional to 415.98, 574.05 and 268.67 is: 370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 574.05 = 268.67 : x
  2. Step 2: Convert to fraction form
    415.98/574.05 = 268.67/x
  3. Step 3: Cross multiply
    415.98x = 574.05 × 268.67
  4. Step 4: Simplify right side
    415.98x = 154,227.14
  5. Step 5: Solve for x
    x = 154,227.14/415.98
  6. Step 6: Final answer
    x = 370.76

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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.