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Finding the Fourth Proportional to 360.69, 541.39 and 280.41

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Solution

The fourth proportional to 360.69, 541.39 and 280.41 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.69 : 541.39 = 280.41 : x
  2. Step 2: Convert to fraction form
    360.69/541.39 = 280.41/x
  3. Step 3: Cross multiply
    360.69x = 541.39 × 280.41
  4. Step 4: Simplify right side
    360.69x = 151,811.17
  5. Step 5: Solve for x
    x = 151,811.17/360.69
  6. Step 6: Final answer
    x = 420.89

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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.