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Finding the Fourth Proportional to 469.76, 648.24 and 273.24

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Solution

The fourth proportional to 469.76, 648.24 and 273.24 is: 377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 648.24 = 273.24 : x
  2. Step 2: Convert to fraction form
    469.76/648.24 = 273.24/x
  3. Step 3: Cross multiply
    469.76x = 648.24 × 273.24
  4. Step 4: Simplify right side
    469.76x = 177,125.10
  5. Step 5: Solve for x
    x = 177,125.10/469.76
  6. Step 6: Final answer
    x = 377.05

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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.