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Finding the Fourth Proportional to 487.14, 672.17 and 274.40

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Solution

The fourth proportional to 487.14, 672.17 and 274.40 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 672.17 = 274.40 : x
  2. Step 2: Convert to fraction form
    487.14/672.17 = 274.40/x
  3. Step 3: Cross multiply
    487.14x = 672.17 × 274.40
  4. Step 4: Simplify right side
    487.14x = 184,443.45
  5. Step 5: Solve for x
    x = 184,443.45/487.14
  6. Step 6: Final answer
    x = 378.63

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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.