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Finding the Fourth Proportional to 701.53, 968.15 and 421.78

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Solution

The fourth proportional to 701.53, 968.15 and 421.78 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 968.15 = 421.78 : x
  2. Step 2: Convert to fraction form
    701.53/968.15 = 421.78/x
  3. Step 3: Cross multiply
    701.53x = 968.15 × 421.78
  4. Step 4: Simplify right side
    701.53x = 408,346.31
  5. Step 5: Solve for x
    x = 408,346.31/701.53
  6. Step 6: Final answer
    x = 582.08

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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.