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Finding the Fourth Proportional to 488.73, 672.81 and 378.17

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Solution

The fourth proportional to 488.73, 672.81 and 378.17 is: 520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.73 : 672.81 = 378.17 : x
  2. Step 2: Convert to fraction form
    488.73/672.81 = 378.17/x
  3. Step 3: Cross multiply
    488.73x = 672.81 × 378.17
  4. Step 4: Simplify right side
    488.73x = 254,434.30
  5. Step 5: Solve for x
    x = 254,434.30/488.73
  6. Step 6: Final answer
    x = 520.60

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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.