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Finding the Fourth Proportional to 478.88, 660.74 and 269.07

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Solution

The fourth proportional to 478.88, 660.74 and 269.07 is: 371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.88 : 660.74 = 269.07 : x
  2. Step 2: Convert to fraction form
    478.88/660.74 = 269.07/x
  3. Step 3: Cross multiply
    478.88x = 660.74 × 269.07
  4. Step 4: Simplify right side
    478.88x = 177,783.00
  5. Step 5: Solve for x
    x = 177,783.00/478.88
  6. Step 6: Final answer
    x = 371.24

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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.