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Finding the Fourth Proportional to 676.13, 932.31 and 427.16

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Solution

The fourth proportional to 676.13, 932.31 and 427.16 is: 589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.13 : 932.31 = 427.16 : x
  2. Step 2: Convert to fraction form
    676.13/932.31 = 427.16/x
  3. Step 3: Cross multiply
    676.13x = 932.31 × 427.16
  4. Step 4: Simplify right side
    676.13x = 398,245.54
  5. Step 5: Solve for x
    x = 398,245.54/676.13
  6. Step 6: Final answer
    x = 589.01

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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.