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Finding the Fourth Proportional to 447.87, 675.80 and 430.99

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Solution

The fourth proportional to 447.87, 675.80 and 430.99 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.87 : 675.80 = 430.99 : x
  2. Step 2: Convert to fraction form
    447.87/675.80 = 430.99/x
  3. Step 3: Cross multiply
    447.87x = 675.80 × 430.99
  4. Step 4: Simplify right side
    447.87x = 291,263.04
  5. Step 5: Solve for x
    x = 291,263.04/447.87
  6. Step 6: Final answer
    x = 650.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.