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Finding the Fourth Proportional to 415.94, 574.04 and 229.46

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Solution

The fourth proportional to 415.94, 574.04 and 229.46 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.94 : 574.04 = 229.46 : x
  2. Step 2: Convert to fraction form
    415.94/574.04 = 229.46/x
  3. Step 3: Cross multiply
    415.94x = 574.04 × 229.46
  4. Step 4: Simplify right side
    415.94x = 131,715.20
  5. Step 5: Solve for x
    x = 131,715.20/415.94
  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.