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Finding the Fourth Proportional to 470.31, 649.10 and 283.83

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Solution

The fourth proportional to 470.31, 649.10 and 283.83 is: 391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 649.10 = 283.83 : x
  2. Step 2: Convert to fraction form
    470.31/649.10 = 283.83/x
  3. Step 3: Cross multiply
    470.31x = 649.10 × 283.83
  4. Step 4: Simplify right side
    470.31x = 184,231.70
  5. Step 5: Solve for x
    x = 184,231.70/470.31
  6. Step 6: Final answer
    x = 391.72

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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.