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Finding the Fourth Proportional to 882.26, 1,323 and 265.85

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Solution

The fourth proportional to 882.26, 1,323 and 265.85 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.26 : 1,323 = 265.85 : x
  2. Step 2: Convert to fraction form
    882.26/1,323 = 265.85/x
  3. Step 3: Cross multiply
    882.26x = 1,323 × 265.85
  4. Step 4: Simplify right side
    882.26x = 351,722.86
  5. Step 5: Solve for x
    x = 351,722.86/882.26
  6. Step 6: Final answer
    x = 398.66

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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.