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Finding the Fourth Proportional to 470.11, 648.94 and 283.61

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Solution

The fourth proportional to 470.11, 648.94 and 283.61 is: 391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.11 : 648.94 = 283.61 : x
  2. Step 2: Convert to fraction form
    470.11/648.94 = 283.61/x
  3. Step 3: Cross multiply
    470.11x = 648.94 × 283.61
  4. Step 4: Simplify right side
    470.11x = 184,041.92
  5. Step 5: Solve for x
    x = 184,041.92/470.11
  6. Step 6: Final answer
    x = 391.49

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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.