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Finding the Fourth Proportional to 415.98, 574.05 and 229.47

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Solution

The fourth proportional to 415.98, 574.05 and 229.47 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 574.05 = 229.47 : x
  2. Step 2: Convert to fraction form
    415.98/574.05 = 229.47/x
  3. Step 3: Cross multiply
    415.98x = 574.05 × 229.47
  4. Step 4: Simplify right side
    415.98x = 131,727.25
  5. Step 5: Solve for x
    x = 131,727.25/415.98
  6. Step 6: Final answer
    x = 316.67

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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.