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Finding the Fourth Proportional to 611.30, 843.27 and 463.69

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Solution

The fourth proportional to 611.30, 843.27 and 463.69 is: 639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.30 : 843.27 = 463.69 : x
  2. Step 2: Convert to fraction form
    611.30/843.27 = 463.69/x
  3. Step 3: Cross multiply
    611.30x = 843.27 × 463.69
  4. Step 4: Simplify right side
    611.30x = 391,015.87
  5. Step 5: Solve for x
    x = 391,015.87/611.30
  6. Step 6: Final answer
    x = 639.65

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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.