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Finding the Fourth Proportional to 676.10, 932.58 and 427.20

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Solution

The fourth proportional to 676.10, 932.58 and 427.20 is: 589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 932.58 = 427.20 : x
  2. Step 2: Convert to fraction form
    676.10/932.58 = 427.20/x
  3. Step 3: Cross multiply
    676.10x = 932.58 × 427.20
  4. Step 4: Simplify right side
    676.10x = 398,398.18
  5. Step 5: Solve for x
    x = 398,398.18/676.10
  6. Step 6: Final answer
    x = 589.26

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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.