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Finding the Fourth Proportional to 487.68, 672.92 and 277.84

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Solution

The fourth proportional to 487.68, 672.92 and 277.84 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.68 : 672.92 = 277.84 : x
  2. Step 2: Convert to fraction form
    487.68/672.92 = 277.84/x
  3. Step 3: Cross multiply
    487.68x = 672.92 × 277.84
  4. Step 4: Simplify right side
    487.68x = 186,964.09
  5. Step 5: Solve for x
    x = 186,964.09/487.68
  6. Step 6: Final answer
    x = 383.37

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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.