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Finding the Fourth Proportional to 488.96, 674.76 and 289.80

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Solution

The fourth proportional to 488.96, 674.76 and 289.80 is: 399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 674.76 = 289.80 : x
  2. Step 2: Convert to fraction form
    488.96/674.76 = 289.80/x
  3. Step 3: Cross multiply
    488.96x = 674.76 × 289.80
  4. Step 4: Simplify right side
    488.96x = 195,545.45
  5. Step 5: Solve for x
    x = 195,545.45/488.96
  6. Step 6: Final answer
    x = 399.92

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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.