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Finding the Fourth Proportional to 476.95, 658.02 and 280.33

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Solution

The fourth proportional to 476.95, 658.02 and 280.33 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.95 : 658.02 = 280.33 : x
  2. Step 2: Convert to fraction form
    476.95/658.02 = 280.33/x
  3. Step 3: Cross multiply
    476.95x = 658.02 × 280.33
  4. Step 4: Simplify right side
    476.95x = 184,462.75
  5. Step 5: Solve for x
    x = 184,462.75/476.95
  6. Step 6: Final answer
    x = 386.75

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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.