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Finding the Fourth Proportional to 701.21, 966.65 and 435.48

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Solution

The fourth proportional to 701.21, 966.65 and 435.48 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 966.65 = 435.48 : x
  2. Step 2: Convert to fraction form
    701.21/966.65 = 435.48/x
  3. Step 3: Cross multiply
    701.21x = 966.65 × 435.48
  4. Step 4: Simplify right side
    701.21x = 420,954.56
  5. Step 5: Solve for x
    x = 420,954.56/701.21
  6. Step 6: Final answer
    x = 600.33

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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.