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Finding the Fourth Proportional to 412.78, 619.24 and 124.24

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Solution

The fourth proportional to 412.78, 619.24 and 124.24 is: 186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 619.24 = 124.24 : x
  2. Step 2: Convert to fraction form
    412.78/619.24 = 124.24/x
  3. Step 3: Cross multiply
    412.78x = 619.24 × 124.24
  4. Step 4: Simplify right side
    412.78x = 76,934.38
  5. Step 5: Solve for x
    x = 76,934.38/412.78
  6. Step 6: Final answer
    x = 186.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.