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Finding the Fourth Proportional to 677.02, 1,015.08 and 266.20

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Solution

The fourth proportional to 677.02, 1,015.08 and 266.20 is: 399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 1,015.08 = 266.20 : x
  2. Step 2: Convert to fraction form
    677.02/1,015.08 = 266.20/x
  3. Step 3: Cross multiply
    677.02x = 1,015.08 × 266.20
  4. Step 4: Simplify right side
    677.02x = 270,214.30
  5. Step 5: Solve for x
    x = 270,214.30/677.02
  6. Step 6: Final answer
    x = 399.12

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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.