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Finding the Fourth Proportional to 415.56, 573.49 and 229.06

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Solution

The fourth proportional to 415.56, 573.49 and 229.06 is: 316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 573.49 = 229.06 : x
  2. Step 2: Convert to fraction form
    415.56/573.49 = 229.06/x
  3. Step 3: Cross multiply
    415.56x = 573.49 × 229.06
  4. Step 4: Simplify right side
    415.56x = 131,359.61
  5. Step 5: Solve for x
    x = 131,359.61/415.56
  6. Step 6: Final answer
    x = 316.10

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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.