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Finding the Fourth Proportional to 488.24, 673.78 and 278.44

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Solution

The fourth proportional to 488.24, 673.78 and 278.44 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 673.78 = 278.44 : x
  2. Step 2: Convert to fraction form
    488.24/673.78 = 278.44/x
  3. Step 3: Cross multiply
    488.24x = 673.78 × 278.44
  4. Step 4: Simplify right side
    488.24x = 187,607.30
  5. Step 5: Solve for x
    x = 187,607.30/488.24
  6. Step 6: Final answer
    x = 384.25

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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.