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Finding the Fourth Proportional to 307.78, 459.21 and 267.28

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Solution

The fourth proportional to 307.78, 459.21 and 267.28 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 459.21 = 267.28 : x
  2. Step 2: Convert to fraction form
    307.78/459.21 = 267.28/x
  3. Step 3: Cross multiply
    307.78x = 459.21 × 267.28
  4. Step 4: Simplify right side
    307.78x = 122,737.65
  5. Step 5: Solve for x
    x = 122,737.65/307.78
  6. Step 6: Final answer
    x = 398.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.