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Finding the Fourth Proportional to 488.07, 673.41 and 301.65

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Solution

The fourth proportional to 488.07, 673.41 and 301.65 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 673.41 = 301.65 : x
  2. Step 2: Convert to fraction form
    488.07/673.41 = 301.65/x
  3. Step 3: Cross multiply
    488.07x = 673.41 × 301.65
  4. Step 4: Simplify right side
    488.07x = 203,134.13
  5. Step 5: Solve for x
    x = 203,134.13/488.07
  6. Step 6: Final answer
    x = 416.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.