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Finding the Fourth Proportional to 447.59, 617.91 and 301.00

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Solution

The fourth proportional to 447.59, 617.91 and 301.00 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.59 : 617.91 = 301.00 : x
  2. Step 2: Convert to fraction form
    447.59/617.91 = 301.00/x
  3. Step 3: Cross multiply
    447.59x = 617.91 × 301.00
  4. Step 4: Simplify right side
    447.59x = 185,987.82
  5. Step 5: Solve for x
    x = 185,987.82/447.59
  6. Step 6: Final answer
    x = 415.54

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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.