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Finding the Fourth Proportional to 470.12, 648.93 and 283.61

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Solution

The fourth proportional to 470.12, 648.93 and 283.61 is: 391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.12 : 648.93 = 283.61 : x
  2. Step 2: Convert to fraction form
    470.12/648.93 = 283.61/x
  3. Step 3: Cross multiply
    470.12x = 648.93 × 283.61
  4. Step 4: Simplify right side
    470.12x = 184,039.79
  5. Step 5: Solve for x
    x = 184,039.79/470.12
  6. Step 6: Final answer
    x = 391.48

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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.