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Finding the Fourth Proportional to 447.68, 618.09 and 307.76

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Solution

The fourth proportional to 447.68, 618.09 and 307.76 is: 424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.68 : 618.09 = 307.76 : x
  2. Step 2: Convert to fraction form
    447.68/618.09 = 307.76/x
  3. Step 3: Cross multiply
    447.68x = 618.09 × 307.76
  4. Step 4: Simplify right side
    447.68x = 190,219.13
  5. Step 5: Solve for x
    x = 190,219.13/447.68
  6. Step 6: Final answer
    x = 424.90

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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.