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Finding the Fourth Proportional to 280.29, 417.57 and 267.24

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Solution

The fourth proportional to 280.29, 417.57 and 267.24 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 417.57 = 267.24 : x
  2. Step 2: Convert to fraction form
    280.29/417.57 = 267.24/x
  3. Step 3: Cross multiply
    280.29x = 417.57 × 267.24
  4. Step 4: Simplify right side
    280.29x = 111,591.41
  5. Step 5: Solve for x
    x = 111,591.41/280.29
  6. Step 6: Final answer
    x = 398.13

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Why These Related Problems?

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