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Finding the Fourth Proportional to 384.08, 530.28 and 267.92

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Solution

The fourth proportional to 384.08, 530.28 and 267.92 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 530.28 = 267.92 : x
  2. Step 2: Convert to fraction form
    384.08/530.28 = 267.92/x
  3. Step 3: Cross multiply
    384.08x = 530.28 × 267.92
  4. Step 4: Simplify right side
    384.08x = 142,072.62
  5. Step 5: Solve for x
    x = 142,072.62/384.08
  6. Step 6: Final answer
    x = 369.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.