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Finding the Fourth Proportional to 676.10, 932.87 and 410.48

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Solution

The fourth proportional to 676.10, 932.87 and 410.48 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 932.87 = 410.48 : x
  2. Step 2: Convert to fraction form
    676.10/932.87 = 410.48/x
  3. Step 3: Cross multiply
    676.10x = 932.87 × 410.48
  4. Step 4: Simplify right side
    676.10x = 382,917.76
  5. Step 5: Solve for x
    x = 382,917.76/676.10
  6. Step 6: Final answer
    x = 566.37

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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.