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Finding the Fourth Proportional to 476.73, 658.01 and 280.37

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Solution

The fourth proportional to 476.73, 658.01 and 280.37 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 658.01 = 280.37 : x
  2. Step 2: Convert to fraction form
    476.73/658.01 = 280.37/x
  3. Step 3: Cross multiply
    476.73x = 658.01 × 280.37
  4. Step 4: Simplify right side
    476.73x = 184,486.96
  5. Step 5: Solve for x
    x = 184,486.96/476.73
  6. Step 6: Final answer
    x = 386.99

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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.