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Finding the Fourth Proportional to 488.96, 674.69 and 279.15

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Solution

The fourth proportional to 488.96, 674.69 and 279.15 is: 385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 674.69 = 279.15 : x
  2. Step 2: Convert to fraction form
    488.96/674.69 = 279.15/x
  3. Step 3: Cross multiply
    488.96x = 674.69 × 279.15
  4. Step 4: Simplify right side
    488.96x = 188,339.71
  5. Step 5: Solve for x
    x = 188,339.71/488.96
  6. Step 6: Final answer
    x = 385.18

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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.