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Finding the Fourth Proportional to 676.13, 932.91 and 392.54

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Solution

The fourth proportional to 676.13, 932.91 and 392.54 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 932.91 = 392.54 : x
  2. Step 2: Convert to fraction form
    676.13/932.91 = 392.54/x
  3. Step 3: Cross multiply
    676.13x = 932.91 × 392.54
  4. Step 4: Simplify right side
    676.13x = 366,199.83
  5. Step 5: Solve for x
    x = 366,199.83/676.13
  6. Step 6: Final answer
    x = 541.62

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