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Finding the Fourth Proportional to 420.67, 580.54 and 280.69

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Solution

The fourth proportional to 420.67, 580.54 and 280.69 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.67 : 580.54 = 280.69 : x
  2. Step 2: Convert to fraction form
    420.67/580.54 = 280.69/x
  3. Step 3: Cross multiply
    420.67x = 580.54 × 280.69
  4. Step 4: Simplify right side
    420.67x = 162,951.77
  5. Step 5: Solve for x
    x = 162,951.77/420.67
  6. Step 6: Final answer
    x = 387.36

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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.