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Finding the Fourth Proportional to 700.62, 966.87 and 464.97

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Solution

The fourth proportional to 700.62, 966.87 and 464.97 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.62 : 966.87 = 464.97 : x
  2. Step 2: Convert to fraction form
    700.62/966.87 = 464.97/x
  3. Step 3: Cross multiply
    700.62x = 966.87 × 464.97
  4. Step 4: Simplify right side
    700.62x = 449,565.54
  5. Step 5: Solve for x
    x = 449,565.54/700.62
  6. Step 6: Final answer
    x = 641.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.