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Finding the Fourth Proportional to 487.57, 672.92 and 277.75

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Solution

The fourth proportional to 487.57, 672.92 and 277.75 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.57 : 672.92 = 277.75 : x
  2. Step 2: Convert to fraction form
    487.57/672.92 = 277.75/x
  3. Step 3: Cross multiply
    487.57x = 672.92 × 277.75
  4. Step 4: Simplify right side
    487.57x = 186,903.53
  5. Step 5: Solve for x
    x = 186,903.53/487.57
  6. Step 6: Final answer
    x = 383.34

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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.