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Finding the Fourth Proportional to 415.68, 619.33 and 409.74

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Solution

The fourth proportional to 415.68, 619.33 and 409.74 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 619.33 = 409.74 : x
  2. Step 2: Convert to fraction form
    415.68/619.33 = 409.74/x
  3. Step 3: Cross multiply
    415.68x = 619.33 × 409.74
  4. Step 4: Simplify right side
    415.68x = 253,764.27
  5. Step 5: Solve for x
    x = 253,764.27/415.68
  6. Step 6: Final answer
    x = 610.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.