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Finding the Fourth Proportional to 470.18, 648.69 and 273.53

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Solution

The fourth proportional to 470.18, 648.69 and 273.53 is: 377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.18 : 648.69 = 273.53 : x
  2. Step 2: Convert to fraction form
    470.18/648.69 = 273.53/x
  3. Step 3: Cross multiply
    470.18x = 648.69 × 273.53
  4. Step 4: Simplify right side
    470.18x = 177,436.18
  5. Step 5: Solve for x
    x = 177,436.18/470.18
  6. Step 6: Final answer
    x = 377.38

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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.