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Finding the Fourth Proportional to 488.10, 673.41 and 278.28

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Solution

The fourth proportional to 488.10, 673.41 and 278.28 is: 383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.10 : 673.41 = 278.28 : x
  2. Step 2: Convert to fraction form
    488.10/673.41 = 278.28/x
  3. Step 3: Cross multiply
    488.10x = 673.41 × 278.28
  4. Step 4: Simplify right side
    488.10x = 187,396.53
  5. Step 5: Solve for x
    x = 187,396.53/488.10
  6. Step 6: Final answer
    x = 383.93

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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.