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Finding the Fourth Proportional to 470.22, 648.96 and 283.74

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Solution

The fourth proportional to 470.22, 648.96 and 283.74 is: 391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 648.96 = 283.74 : x
  2. Step 2: Convert to fraction form
    470.22/648.96 = 283.74/x
  3. Step 3: Cross multiply
    470.22x = 648.96 × 283.74
  4. Step 4: Simplify right side
    470.22x = 184,135.91
  5. Step 5: Solve for x
    x = 184,135.91/470.22
  6. Step 6: Final answer
    x = 391.60

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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.