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Finding the Fourth Proportional to 920.34, 1,380.32 and 304.10

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Solution

The fourth proportional to 920.34, 1,380.32 and 304.10 is: 456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,380.32 = 304.10 : x
  2. Step 2: Convert to fraction form
    920.34/1,380.32 = 304.10/x
  3. Step 3: Cross multiply
    920.34x = 1,380.32 × 304.10
  4. Step 4: Simplify right side
    920.34x = 419,755.31
  5. Step 5: Solve for x
    x = 419,755.31/920.34
  6. Step 6: Final answer
    x = 456.09

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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.