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Finding the Fourth Proportional to 415.64, 573.56 and 229.14

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Solution

The fourth proportional to 415.64, 573.56 and 229.14 is: 316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 573.56 = 229.14 : x
  2. Step 2: Convert to fraction form
    415.64/573.56 = 229.14/x
  3. Step 3: Cross multiply
    415.64x = 573.56 × 229.14
  4. Step 4: Simplify right side
    415.64x = 131,424.39
  5. Step 5: Solve for x
    x = 131,424.39/415.64
  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.