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Finding the Fourth Proportional to 390.81, 538.15 and 280.09

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Solution

The fourth proportional to 390.81, 538.15 and 280.09 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.81 : 538.15 = 280.09 : x
  2. Step 2: Convert to fraction form
    390.81/538.15 = 280.09/x
  3. Step 3: Cross multiply
    390.81x = 538.15 × 280.09
  4. Step 4: Simplify right side
    390.81x = 150,730.43
  5. Step 5: Solve for x
    x = 150,730.43/390.81
  6. Step 6: Final answer
    x = 385.69

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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.