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Finding the Fourth Proportional to 576.30, 793.89 and 459.66

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Solution

The fourth proportional to 576.30, 793.89 and 459.66 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 793.89 = 459.66 : x
  2. Step 2: Convert to fraction form
    576.30/793.89 = 459.66/x
  3. Step 3: Cross multiply
    576.30x = 793.89 × 459.66
  4. Step 4: Simplify right side
    576.30x = 364,919.48
  5. Step 5: Solve for x
    x = 364,919.48/576.30
  6. Step 6: Final answer
    x = 633.21

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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.