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Finding the Fourth Proportional to 882.41, 1,323.61 and 305.15

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Solution

The fourth proportional to 882.41, 1,323.61 and 305.15 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.41 : 1,323.61 = 305.15 : x
  2. Step 2: Convert to fraction form
    882.41/1,323.61 = 305.15/x
  3. Step 3: Cross multiply
    882.41x = 1,323.61 × 305.15
  4. Step 4: Simplify right side
    882.41x = 403,892.21
  5. Step 5: Solve for x
    x = 403,892.21/882.41
  6. Step 6: Final answer
    x = 457.72

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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.