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Finding the Fourth Proportional to 699.88, 965.20 and 478.40

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Solution

The fourth proportional to 699.88, 965.20 and 478.40 is: 659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.88 : 965.20 = 478.40 : x
  2. Step 2: Convert to fraction form
    699.88/965.20 = 478.40/x
  3. Step 3: Cross multiply
    699.88x = 965.20 × 478.40
  4. Step 4: Simplify right side
    699.88x = 461,751.68
  5. Step 5: Solve for x
    x = 461,751.68/699.88
  6. Step 6: Final answer
    x = 659.76

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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.