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Finding the Fourth Proportional to 280.16, 387.08 and 276.52

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Solution

The fourth proportional to 280.16, 387.08 and 276.52 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 387.08 = 276.52 : x
  2. Step 2: Convert to fraction form
    280.16/387.08 = 276.52/x
  3. Step 3: Cross multiply
    280.16x = 387.08 × 276.52
  4. Step 4: Simplify right side
    280.16x = 107,035.36
  5. Step 5: Solve for x
    x = 107,035.36/280.16
  6. Step 6: Final answer
    x = 382.05

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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.