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Finding the Fourth Proportional to 284.16, 423.09 and 267.25

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Solution

The fourth proportional to 284.16, 423.09 and 267.25 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 423.09 = 267.25 : x
  2. Step 2: Convert to fraction form
    284.16/423.09 = 267.25/x
  3. Step 3: Cross multiply
    284.16x = 423.09 × 267.25
  4. Step 4: Simplify right side
    284.16x = 113,070.80
  5. Step 5: Solve for x
    x = 113,070.80/284.16
  6. Step 6: Final answer
    x = 397.92

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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.