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Finding the Fourth Proportional to 415.52, 573.38 and 229.00

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Solution

The fourth proportional to 415.52, 573.38 and 229.00 is: 316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 573.38 = 229.00 : x
  2. Step 2: Convert to fraction form
    415.52/573.38 = 229.00/x
  3. Step 3: Cross multiply
    415.52x = 573.38 × 229.00
  4. Step 4: Simplify right side
    415.52x = 131,304.99
  5. Step 5: Solve for x
    x = 131,304.99/415.52
  6. Step 6: Final answer
    x = 316.00

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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.