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Finding the Fourth Proportional to 701.27, 967.44 and 476.93

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Solution

The fourth proportional to 701.27, 967.44 and 476.93 is: 657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.27 : 967.44 = 476.93 : x
  2. Step 2: Convert to fraction form
    701.27/967.44 = 476.93/x
  3. Step 3: Cross multiply
    701.27x = 967.44 × 476.93
  4. Step 4: Simplify right side
    701.27x = 461,403.58
  5. Step 5: Solve for x
    x = 461,403.58/701.27
  6. Step 6: Final answer
    x = 657.95

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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.