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Finding the Fourth Proportional to 488.39, 674.02 and 278.57

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Solution

The fourth proportional to 488.39, 674.02 and 278.57 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.39 : 674.02 = 278.57 : x
  2. Step 2: Convert to fraction form
    488.39/674.02 = 278.57/x
  3. Step 3: Cross multiply
    488.39x = 674.02 × 278.57
  4. Step 4: Simplify right side
    488.39x = 187,761.75
  5. Step 5: Solve for x
    x = 187,761.75/488.39
  6. Step 6: Final answer
    x = 384.45

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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.