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Finding the Fourth Proportional to 277.58, 382.42 and 264.62

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Solution

The fourth proportional to 277.58, 382.42 and 264.62 is: 364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 382.42 = 264.62 : x
  2. Step 2: Convert to fraction form
    277.58/382.42 = 264.62/x
  3. Step 3: Cross multiply
    277.58x = 382.42 × 264.62
  4. Step 4: Simplify right side
    277.58x = 101,195.98
  5. Step 5: Solve for x
    x = 101,195.98/277.58
  6. Step 6: Final answer
    x = 364.57

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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.