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Finding the Fourth Proportional to 488.50, 674.15 and 278.67

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Solution

The fourth proportional to 488.50, 674.15 and 278.67 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.50 : 674.15 = 278.67 : x
  2. Step 2: Convert to fraction form
    488.50/674.15 = 278.67/x
  3. Step 3: Cross multiply
    488.50x = 674.15 × 278.67
  4. Step 4: Simplify right side
    488.50x = 187,863.99
  5. Step 5: Solve for x
    x = 187,863.99/488.50
  6. Step 6: Final answer
    x = 384.58

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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.