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Finding the Fourth Proportional to 464.32, 641.34 and 339.79

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Solution

The fourth proportional to 464.32, 641.34 and 339.79 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 641.34 = 339.79 : x
  2. Step 2: Convert to fraction form
    464.32/641.34 = 339.79/x
  3. Step 3: Cross multiply
    464.32x = 641.34 × 339.79
  4. Step 4: Simplify right side
    464.32x = 217,920.92
  5. Step 5: Solve for x
    x = 217,920.92/464.32
  6. Step 6: Final answer
    x = 469.33

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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.