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Finding the Fourth Proportional to 678.04, 1,016.66 and 266.70

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Solution

The fourth proportional to 678.04, 1,016.66 and 266.70 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 1,016.66 = 266.70 : x
  2. Step 2: Convert to fraction form
    678.04/1,016.66 = 266.70/x
  3. Step 3: Cross multiply
    678.04x = 1,016.66 × 266.70
  4. Step 4: Simplify right side
    678.04x = 271,143.22
  5. Step 5: Solve for x
    x = 271,143.22/678.04
  6. Step 6: Final answer
    x = 399.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.