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Finding the Fourth Proportional to 277.45, 416.33 and 237.05

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Solution

The fourth proportional to 277.45, 416.33 and 237.05 is: 355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 416.33 = 237.05 : x
  2. Step 2: Convert to fraction form
    277.45/416.33 = 237.05/x
  3. Step 3: Cross multiply
    277.45x = 416.33 × 237.05
  4. Step 4: Simplify right side
    277.45x = 98,690.88
  5. Step 5: Solve for x
    x = 98,690.88/277.45
  6. Step 6: Final answer
    x = 355.71

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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.