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Finding the Fourth Proportional to 882.08, 1,323.08 and 304.92

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Solution

The fourth proportional to 882.08, 1,323.08 and 304.92 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.08 : 1,323.08 = 304.92 : x
  2. Step 2: Convert to fraction form
    882.08/1,323.08 = 304.92/x
  3. Step 3: Cross multiply
    882.08x = 1,323.08 × 304.92
  4. Step 4: Simplify right side
    882.08x = 403,433.55
  5. Step 5: Solve for x
    x = 403,433.55/882.08
  6. Step 6: Final answer
    x = 457.37

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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.