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Finding the Fourth Proportional to 466.18, 704.78 and 462.34

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Solution

The fourth proportional to 466.18, 704.78 and 462.34 is: 698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.18 : 704.78 = 462.34 : x
  2. Step 2: Convert to fraction form
    466.18/704.78 = 462.34/x
  3. Step 3: Cross multiply
    466.18x = 704.78 × 462.34
  4. Step 4: Simplify right side
    466.18x = 325,844.46
  5. Step 5: Solve for x
    x = 325,844.46/466.18
  6. Step 6: Final answer
    x = 698.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.