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Finding the Fourth Proportional to 920.23, 1,380.62 and 372.13

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Solution

The fourth proportional to 920.23, 1,380.62 and 372.13 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,380.62 = 372.13 : x
  2. Step 2: Convert to fraction form
    920.23/1,380.62 = 372.13/x
  3. Step 3: Cross multiply
    920.23x = 1,380.62 × 372.13
  4. Step 4: Simplify right side
    920.23x = 513,770.12
  5. Step 5: Solve for x
    x = 513,770.12/920.23
  6. Step 6: Final answer
    x = 558.31

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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.