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Finding the Fourth Proportional to 384.16, 576.42 and 276.28

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Solution

The fourth proportional to 384.16, 576.42 and 276.28 is: 414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 576.42 = 276.28 : x
  2. Step 2: Convert to fraction form
    384.16/576.42 = 276.28/x
  3. Step 3: Cross multiply
    384.16x = 576.42 × 276.28
  4. Step 4: Simplify right side
    384.16x = 159,253.32
  5. Step 5: Solve for x
    x = 159,253.32/384.16
  6. Step 6: Final answer
    x = 414.55

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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.