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Finding the Fourth Proportional to 277.80, 416.88 and 209.48

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Solution

The fourth proportional to 277.80, 416.88 and 209.48 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 416.88 = 209.48 : x
  2. Step 2: Convert to fraction form
    277.80/416.88 = 209.48/x
  3. Step 3: Cross multiply
    277.80x = 416.88 × 209.48
  4. Step 4: Simplify right side
    277.80x = 87,328.02
  5. Step 5: Solve for x
    x = 87,328.02/277.80
  6. Step 6: Final answer
    x = 314.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.