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Finding the Fourth Proportional to 488.48, 674.01 and 278.66

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Solution

The fourth proportional to 488.48, 674.01 and 278.66 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 674.01 = 278.66 : x
  2. Step 2: Convert to fraction form
    488.48/674.01 = 278.66/x
  3. Step 3: Cross multiply
    488.48x = 674.01 × 278.66
  4. Step 4: Simplify right side
    488.48x = 187,819.63
  5. Step 5: Solve for x
    x = 187,819.63/488.48
  6. Step 6: Final answer
    x = 384.50

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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.