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Finding the Fourth Proportional to 701.64, 967.92 and 465.70

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Solution

The fourth proportional to 701.64, 967.92 and 465.70 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 967.92 = 465.70 : x
  2. Step 2: Convert to fraction form
    701.64/967.92 = 465.70/x
  3. Step 3: Cross multiply
    701.64x = 967.92 × 465.70
  4. Step 4: Simplify right side
    701.64x = 450,761.92
  5. Step 5: Solve for x
    x = 450,761.92/701.64
  6. Step 6: Final answer
    x = 642.44

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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.