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Finding the Fourth Proportional to 468.45, 704.09 and 462.98

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Solution

The fourth proportional to 468.45, 704.09 and 462.98 is: 695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.45 : 704.09 = 462.98 : x
  2. Step 2: Convert to fraction form
    468.45/704.09 = 462.98/x
  3. Step 3: Cross multiply
    468.45x = 704.09 × 462.98
  4. Step 4: Simplify right side
    468.45x = 325,982.51
  5. Step 5: Solve for x
    x = 325,982.51/468.45
  6. Step 6: Final answer
    x = 695.87

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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.