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Finding the Fourth Proportional to 415.65, 573.59 and 229.14

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Solution

The fourth proportional to 415.65, 573.59 and 229.14 is: 316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.59 = 229.14 : x
  2. Step 2: Convert to fraction form
    415.65/573.59 = 229.14/x
  3. Step 3: Cross multiply
    415.65x = 573.59 × 229.14
  4. Step 4: Simplify right side
    415.65x = 131,430.12
  5. Step 5: Solve for x
    x = 131,430.12/415.65
  6. Step 6: Final answer
    x = 316.20

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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.