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Finding the Fourth Proportional to 882.25, 1,323.41 and 265.98

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Solution

The fourth proportional to 882.25, 1,323.41 and 265.98 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.25 : 1,323.41 = 265.98 : x
  2. Step 2: Convert to fraction form
    882.25/1,323.41 = 265.98/x
  3. Step 3: Cross multiply
    882.25x = 1,323.41 × 265.98
  4. Step 4: Simplify right side
    882.25x = 351,992.64
  5. Step 5: Solve for x
    x = 351,992.64/882.25
  6. Step 6: Final answer
    x = 398.97

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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.