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Finding the Fourth Proportional to 701.06, 966.88 and 465.02

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Solution

The fourth proportional to 701.06, 966.88 and 465.02 is: 641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 966.88 = 465.02 : x
  2. Step 2: Convert to fraction form
    701.06/966.88 = 465.02/x
  3. Step 3: Cross multiply
    701.06x = 966.88 × 465.02
  4. Step 4: Simplify right side
    701.06x = 449,618.54
  5. Step 5: Solve for x
    x = 449,618.54/701.06
  6. Step 6: Final answer
    x = 641.34

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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.