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Finding the Fourth Proportional to 852.42, 1,278.49 and 332.65

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Solution

The fourth proportional to 852.42, 1,278.49 and 332.65 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.42 : 1,278.49 = 332.65 : x
  2. Step 2: Convert to fraction form
    852.42/1,278.49 = 332.65/x
  3. Step 3: Cross multiply
    852.42x = 1,278.49 × 332.65
  4. Step 4: Simplify right side
    852.42x = 425,289.70
  5. Step 5: Solve for x
    x = 425,289.70/852.42
  6. Step 6: Final answer
    x = 498.92

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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.