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Finding the Fourth Proportional to 699.56, 964.20 and 478.12

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Solution

The fourth proportional to 699.56, 964.20 and 478.12 is: 658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 964.20 = 478.12 : x
  2. Step 2: Convert to fraction form
    699.56/964.20 = 478.12/x
  3. Step 3: Cross multiply
    699.56x = 964.20 × 478.12
  4. Step 4: Simplify right side
    699.56x = 461,003.30
  5. Step 5: Solve for x
    x = 461,003.30/699.56
  6. Step 6: Final answer
    x = 658.99

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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.