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Finding the Fourth Proportional to 280.74, 386.72 and 268.32

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Solution

The fourth proportional to 280.74, 386.72 and 268.32 is: 369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 386.72 = 268.32 : x
  2. Step 2: Convert to fraction form
    280.74/386.72 = 268.32/x
  3. Step 3: Cross multiply
    280.74x = 386.72 × 268.32
  4. Step 4: Simplify right side
    280.74x = 103,764.71
  5. Step 5: Solve for x
    x = 103,764.71/280.74
  6. Step 6: Final answer
    x = 369.61

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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.