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Finding the Fourth Proportional to 280.64, 419.88 and 267.86

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Solution

The fourth proportional to 280.64, 419.88 and 267.86 is: 400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 419.88 = 267.86 : x
  2. Step 2: Convert to fraction form
    280.64/419.88 = 267.86/x
  3. Step 3: Cross multiply
    280.64x = 419.88 × 267.86
  4. Step 4: Simplify right side
    280.64x = 112,469.06
  5. Step 5: Solve for x
    x = 112,469.06/280.64
  6. Step 6: Final answer
    x = 400.76

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Why These Related Problems?

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