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Finding the Fourth Proportional to 676.64, 934 and 428.38

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Solution

The fourth proportional to 676.64, 934 and 428.38 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.64 : 934 = 428.38 : x
  2. Step 2: Convert to fraction form
    676.64/934 = 428.38/x
  3. Step 3: Cross multiply
    676.64x = 934 × 428.38
  4. Step 4: Simplify right side
    676.64x = 400,106.92
  5. Step 5: Solve for x
    x = 400,106.92/676.64
  6. Step 6: Final answer
    x = 591.31

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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.