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Finding the Fourth Proportional to 415.73, 573.85 and 250.02

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Solution

The fourth proportional to 415.73, 573.85 and 250.02 is: 345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 573.85 = 250.02 : x
  2. Step 2: Convert to fraction form
    415.73/573.85 = 250.02/x
  3. Step 3: Cross multiply
    415.73x = 573.85 × 250.02
  4. Step 4: Simplify right side
    415.73x = 143,474.29
  5. Step 5: Solve for x
    x = 143,474.29/415.73
  6. Step 6: Final answer
    x = 345.11

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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.