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Finding the Fourth Proportional to 920.42, 1,380.74 and 304.18

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Solution

The fourth proportional to 920.42, 1,380.74 and 304.18 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.42 : 1,380.74 = 304.18 : x
  2. Step 2: Convert to fraction form
    920.42/1,380.74 = 304.18/x
  3. Step 3: Cross multiply
    920.42x = 1,380.74 × 304.18
  4. Step 4: Simplify right side
    920.42x = 419,993.49
  5. Step 5: Solve for x
    x = 419,993.49/920.42
  6. Step 6: Final answer
    x = 456.31

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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.