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Finding the Fourth Proportional to 471.20, 704.01 and 462.56

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Solution

The fourth proportional to 471.20, 704.01 and 462.56 is: 691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 704.01 = 462.56 : x
  2. Step 2: Convert to fraction form
    471.20/704.01 = 462.56/x
  3. Step 3: Cross multiply
    471.20x = 704.01 × 462.56
  4. Step 4: Simplify right side
    471.20x = 325,646.87
  5. Step 5: Solve for x
    x = 325,646.87/471.20
  6. Step 6: Final answer
    x = 691.10

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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.