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Finding the Fourth Proportional to 642.13, 886.26 and 380.20

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Solution

The fourth proportional to 642.13, 886.26 and 380.20 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.13 : 886.26 = 380.20 : x
  2. Step 2: Convert to fraction form
    642.13/886.26 = 380.20/x
  3. Step 3: Cross multiply
    642.13x = 886.26 × 380.20
  4. Step 4: Simplify right side
    642.13x = 336,956.05
  5. Step 5: Solve for x
    x = 336,956.05/642.13
  6. Step 6: Final answer
    x = 524.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.