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Finding the Fourth Proportional to 701.01, 967.14 and 468.54

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Solution

The fourth proportional to 701.01, 967.14 and 468.54 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.01 : 967.14 = 468.54 : x
  2. Step 2: Convert to fraction form
    701.01/967.14 = 468.54/x
  3. Step 3: Cross multiply
    701.01x = 967.14 × 468.54
  4. Step 4: Simplify right side
    701.01x = 453,143.78
  5. Step 5: Solve for x
    x = 453,143.78/701.01
  6. Step 6: Final answer
    x = 646.42

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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.