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Finding the Fourth Proportional to 415.22, 619.90 and 380.66

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Solution

The fourth proportional to 415.22, 619.90 and 380.66 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 619.90 = 380.66 : x
  2. Step 2: Convert to fraction form
    415.22/619.90 = 380.66/x
  3. Step 3: Cross multiply
    415.22x = 619.90 × 380.66
  4. Step 4: Simplify right side
    415.22x = 235,971.13
  5. Step 5: Solve for x
    x = 235,971.13/415.22
  6. Step 6: Final answer
    x = 568.30

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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.