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Finding the Fourth Proportional to 471.68, 704.38 and 466.60

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Solution

The fourth proportional to 471.68, 704.38 and 466.60 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 704.38 = 466.60 : x
  2. Step 2: Convert to fraction form
    471.68/704.38 = 466.60/x
  3. Step 3: Cross multiply
    471.68x = 704.38 × 466.60
  4. Step 4: Simplify right side
    471.68x = 328,663.71
  5. Step 5: Solve for x
    x = 328,663.71/471.68
  6. Step 6: Final answer
    x = 696.79

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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.