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Finding the Fourth Proportional to 851.83, 1,278.24 and 332.19

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Solution

The fourth proportional to 851.83, 1,278.24 and 332.19 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.83 : 1,278.24 = 332.19 : x
  2. Step 2: Convert to fraction form
    851.83/1,278.24 = 332.19/x
  3. Step 3: Cross multiply
    851.83x = 1,278.24 × 332.19
  4. Step 4: Simplify right side
    851.83x = 424,616.88
  5. Step 5: Solve for x
    x = 424,616.88/851.83
  6. Step 6: Final answer
    x = 498.48

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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.