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Finding the Fourth Proportional to 676.22, 932.92 and 410.48

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Solution

The fourth proportional to 676.22, 932.92 and 410.48 is: 566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.22 : 932.92 = 410.48 : x
  2. Step 2: Convert to fraction form
    676.22/932.92 = 410.48/x
  3. Step 3: Cross multiply
    676.22x = 932.92 × 410.48
  4. Step 4: Simplify right side
    676.22x = 382,945.77
  5. Step 5: Solve for x
    x = 382,945.77/676.22
  6. Step 6: Final answer
    x = 566.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.