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Finding the Fourth Proportional to 488.04, 673.46 and 278.25

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Solution

The fourth proportional to 488.04, 673.46 and 278.25 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.04 : 673.46 = 278.25 : x
  2. Step 2: Convert to fraction form
    488.04/673.46 = 278.25/x
  3. Step 3: Cross multiply
    488.04x = 673.46 × 278.25
  4. Step 4: Simplify right side
    488.04x = 187,392.73
  5. Step 5: Solve for x
    x = 187,392.73/488.04
  6. Step 6: Final answer
    x = 383.97

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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.