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Finding the Fourth Proportional to 470.09, 648.83 and 283.70

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Solution

The fourth proportional to 470.09, 648.83 and 283.70 is: 391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 648.83 = 283.70 : x
  2. Step 2: Convert to fraction form
    470.09/648.83 = 283.70/x
  3. Step 3: Cross multiply
    470.09x = 648.83 × 283.70
  4. Step 4: Simplify right side
    470.09x = 184,068.41
  5. Step 5: Solve for x
    x = 184,068.41/470.09
  6. Step 6: Final answer
    x = 391.56

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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.