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Finding the Fourth Proportional to 701.54, 967.44 and 465.68

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Solution

The fourth proportional to 701.54, 967.44 and 465.68 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 967.44 = 465.68 : x
  2. Step 2: Convert to fraction form
    701.54/967.44 = 465.68/x
  3. Step 3: Cross multiply
    701.54x = 967.44 × 465.68
  4. Step 4: Simplify right side
    701.54x = 450,517.46
  5. Step 5: Solve for x
    x = 450,517.46/701.54
  6. Step 6: Final answer
    x = 642.18

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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.