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Finding the Fourth Proportional to 676.50, 934.24 and 467.22

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Solution

The fourth proportional to 676.50, 934.24 and 467.22 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 934.24 = 467.22 : x
  2. Step 2: Convert to fraction form
    676.50/934.24 = 467.22/x
  3. Step 3: Cross multiply
    676.50x = 934.24 × 467.22
  4. Step 4: Simplify right side
    676.50x = 436,496.78
  5. Step 5: Solve for x
    x = 436,496.78/676.50
  6. Step 6: Final answer
    x = 645.23

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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.