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Finding the Fourth Proportional to 415.53, 573.42 and 229.02

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Solution

The fourth proportional to 415.53, 573.42 and 229.02 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 573.42 = 229.02 : x
  2. Step 2: Convert to fraction form
    415.53/573.42 = 229.02/x
  3. Step 3: Cross multiply
    415.53x = 573.42 × 229.02
  4. Step 4: Simplify right side
    415.53x = 131,324.65
  5. Step 5: Solve for x
    x = 131,324.65/415.53
  6. Step 6: Final answer
    x = 316.04

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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.