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Finding the Fourth Proportional to 701.33, 967.98 and 465.29

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Solution

The fourth proportional to 701.33, 967.98 and 465.29 is: 642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.33 : 967.98 = 465.29 : x
  2. Step 2: Convert to fraction form
    701.33/967.98 = 465.29/x
  3. Step 3: Cross multiply
    701.33x = 967.98 × 465.29
  4. Step 4: Simplify right side
    701.33x = 450,390.20
  5. Step 5: Solve for x
    x = 450,390.20/701.33
  6. Step 6: Final answer
    x = 642.20

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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.