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Finding the Fourth Proportional to 415.65, 573.62 and 229.16

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Solution

The fourth proportional to 415.65, 573.62 and 229.16 is: 316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.62 = 229.16 : x
  2. Step 2: Convert to fraction form
    415.65/573.62 = 229.16/x
  3. Step 3: Cross multiply
    415.65x = 573.62 × 229.16
  4. Step 4: Simplify right side
    415.65x = 131,451.05
  5. Step 5: Solve for x
    x = 131,451.05/415.65
  6. Step 6: Final answer
    x = 316.25

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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.