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Finding the Fourth Proportional to 676.01, 932.93 and 381.29

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Solution

The fourth proportional to 676.01, 932.93 and 381.29 is: 526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.01 : 932.93 = 381.29 : x
  2. Step 2: Convert to fraction form
    676.01/932.93 = 381.29/x
  3. Step 3: Cross multiply
    676.01x = 932.93 × 381.29
  4. Step 4: Simplify right side
    676.01x = 355,714.97
  5. Step 5: Solve for x
    x = 355,714.97/676.01
  6. Step 6: Final answer
    x = 526.20

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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.