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Finding the Fourth Proportional to 277.46, 382.79 and 207.57

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Solution

The fourth proportional to 277.46, 382.79 and 207.57 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 382.79 = 207.57 : x
  2. Step 2: Convert to fraction form
    277.46/382.79 = 207.57/x
  3. Step 3: Cross multiply
    277.46x = 382.79 × 207.57
  4. Step 4: Simplify right side
    277.46x = 79,455.72
  5. Step 5: Solve for x
    x = 79,455.72/277.46
  6. Step 6: Final answer
    x = 286.37

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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.