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Finding the Fourth Proportional to 397.09, 547.81 and 280.81

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Solution

The fourth proportional to 397.09, 547.81 and 280.81 is: 387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 547.81 = 280.81 : x
  2. Step 2: Convert to fraction form
    397.09/547.81 = 280.81/x
  3. Step 3: Cross multiply
    397.09x = 547.81 × 280.81
  4. Step 4: Simplify right side
    397.09x = 153,830.53
  5. Step 5: Solve for x
    x = 153,830.53/397.09
  6. Step 6: Final answer
    x = 387.39

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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.