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Finding the Fourth Proportional to 457.35, 684.99 and 447.09

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Solution

The fourth proportional to 457.35, 684.99 and 447.09 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.35 : 684.99 = 447.09 : x
  2. Step 2: Convert to fraction form
    457.35/684.99 = 447.09/x
  3. Step 3: Cross multiply
    457.35x = 684.99 × 447.09
  4. Step 4: Simplify right side
    457.35x = 306,252.18
  5. Step 5: Solve for x
    x = 306,252.18/457.35
  6. Step 6: Final answer
    x = 669.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.