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Finding the Fourth Proportional to 701.30, 968.08 and 452.64

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Solution

The fourth proportional to 701.30, 968.08 and 452.64 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.30 : 968.08 = 452.64 : x
  2. Step 2: Convert to fraction form
    701.30/968.08 = 452.64/x
  3. Step 3: Cross multiply
    701.30x = 968.08 × 452.64
  4. Step 4: Simplify right side
    701.30x = 438,191.73
  5. Step 5: Solve for x
    x = 438,191.73/701.30
  6. Step 6: Final answer
    x = 624.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.