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Finding the Fourth Proportional to 701.35, 966.96 and 479.92

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Solution

The fourth proportional to 701.35, 966.96 and 479.92 is: 661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.35 : 966.96 = 479.92 : x
  2. Step 2: Convert to fraction form
    701.35/966.96 = 479.92/x
  3. Step 3: Cross multiply
    701.35x = 966.96 × 479.92
  4. Step 4: Simplify right side
    701.35x = 464,061.03
  5. Step 5: Solve for x
    x = 464,061.03/701.35
  6. Step 6: Final answer
    x = 661.67

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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.