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Finding the Fourth Proportional to 488.15, 673.82 and 301.78

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Solution

The fourth proportional to 488.15, 673.82 and 301.78 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.15 : 673.82 = 301.78 : x
  2. Step 2: Convert to fraction form
    488.15/673.82 = 301.78/x
  3. Step 3: Cross multiply
    488.15x = 673.82 × 301.78
  4. Step 4: Simplify right side
    488.15x = 203,345.40
  5. Step 5: Solve for x
    x = 203,345.40/488.15
  6. Step 6: Final answer
    x = 416.56

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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.