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Finding the Fourth Proportional to 487.27, 672.37 and 277.41

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Solution

The fourth proportional to 487.27, 672.37 and 277.41 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.27 : 672.37 = 277.41 : x
  2. Step 2: Convert to fraction form
    487.27/672.37 = 277.41/x
  3. Step 3: Cross multiply
    487.27x = 672.37 × 277.41
  4. Step 4: Simplify right side
    487.27x = 186,522.16
  5. Step 5: Solve for x
    x = 186,522.16/487.27
  6. Step 6: Final answer
    x = 382.79

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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.