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Finding the Fourth Proportional to 920.20, 1,380.14 and 335.16

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Solution

The fourth proportional to 920.20, 1,380.14 and 335.16 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.20 : 1,380.14 = 335.16 : x
  2. Step 2: Convert to fraction form
    920.20/1,380.14 = 335.16/x
  3. Step 3: Cross multiply
    920.20x = 1,380.14 × 335.16
  4. Step 4: Simplify right side
    920.20x = 462,567.72
  5. Step 5: Solve for x
    x = 462,567.72/920.20
  6. Step 6: Final answer
    x = 502.68

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Why These Related Problems?

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