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Finding the Fourth Proportional to 882.56, 1,323.96 and 305.36

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Solution

The fourth proportional to 882.56, 1,323.96 and 305.36 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,323.96 = 305.36 : x
  2. Step 2: Convert to fraction form
    882.56/1,323.96 = 305.36/x
  3. Step 3: Cross multiply
    882.56x = 1,323.96 × 305.36
  4. Step 4: Simplify right side
    882.56x = 404,284.43
  5. Step 5: Solve for x
    x = 404,284.43/882.56
  6. Step 6: Final answer
    x = 458.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.