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Finding the Fourth Proportional to 464.22, 694.17 and 309.90

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Solution

The fourth proportional to 464.22, 694.17 and 309.90 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 694.17 = 309.90 : x
  2. Step 2: Convert to fraction form
    464.22/694.17 = 309.90/x
  3. Step 3: Cross multiply
    464.22x = 694.17 × 309.90
  4. Step 4: Simplify right side
    464.22x = 215,123.28
  5. Step 5: Solve for x
    x = 215,123.28/464.22
  6. Step 6: Final answer
    x = 463.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.