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Finding the Fourth Proportional to 468.54, 699.53 and 422.46

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Solution

The fourth proportional to 468.54, 699.53 and 422.46 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 699.53 = 422.46 : x
  2. Step 2: Convert to fraction form
    468.54/699.53 = 422.46/x
  3. Step 3: Cross multiply
    468.54x = 699.53 × 422.46
  4. Step 4: Simplify right side
    468.54x = 295,521.33
  5. Step 5: Solve for x
    x = 295,521.33/468.54
  6. Step 6: Final answer
    x = 630.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.