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Finding the Fourth Proportional to 701.44, 968.28 and 491.64

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Solution

The fourth proportional to 701.44, 968.28 and 491.64 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.44 : 968.28 = 491.64 : x
  2. Step 2: Convert to fraction form
    701.44/968.28 = 491.64/x
  3. Step 3: Cross multiply
    701.44x = 968.28 × 491.64
  4. Step 4: Simplify right side
    701.44x = 476,045.18
  5. Step 5: Solve for x
    x = 476,045.18/701.44
  6. Step 6: Final answer
    x = 678.67

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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.