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Finding the Fourth Proportional to 920.98, 1,381.16 and 304.54

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Solution

The fourth proportional to 920.98, 1,381.16 and 304.54 is: 456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.98 : 1,381.16 = 304.54 : x
  2. Step 2: Convert to fraction form
    920.98/1,381.16 = 304.54/x
  3. Step 3: Cross multiply
    920.98x = 1,381.16 × 304.54
  4. Step 4: Simplify right side
    920.98x = 420,618.47
  5. Step 5: Solve for x
    x = 420,618.47/920.98
  6. Step 6: Final answer
    x = 456.71

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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.