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Finding the Fourth Proportional to 700.67, 966.96 and 385.97

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Solution

The fourth proportional to 700.67, 966.96 and 385.97 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.67 : 966.96 = 385.97 : x
  2. Step 2: Convert to fraction form
    700.67/966.96 = 385.97/x
  3. Step 3: Cross multiply
    700.67x = 966.96 × 385.97
  4. Step 4: Simplify right side
    700.67x = 373,212.72
  5. Step 5: Solve for x
    x = 373,212.72/700.67
  6. Step 6: Final answer
    x = 532.66

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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.