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Finding the Fourth Proportional to 852.65, 1,279.02 and 332.61

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Solution

The fourth proportional to 852.65, 1,279.02 and 332.61 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.65 : 1,279.02 = 332.61 : x
  2. Step 2: Convert to fraction form
    852.65/1,279.02 = 332.61/x
  3. Step 3: Cross multiply
    852.65x = 1,279.02 × 332.61
  4. Step 4: Simplify right side
    852.65x = 425,408.49
  5. Step 5: Solve for x
    x = 425,408.49/852.65
  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.