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Finding the Fourth Proportional to 882.41, 1,322.55 and 326.67

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Solution

The fourth proportional to 882.41, 1,322.55 and 326.67 is: 489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.41 : 1,322.55 = 326.67 : x
  2. Step 2: Convert to fraction form
    882.41/1,322.55 = 326.67/x
  3. Step 3: Cross multiply
    882.41x = 1,322.55 × 326.67
  4. Step 4: Simplify right side
    882.41x = 432,037.41
  5. Step 5: Solve for x
    x = 432,037.41/882.41
  6. Step 6: Final answer
    x = 489.61

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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.