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Finding the Fourth Proportional to 611.64, 844.05 and 335.64

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Solution

The fourth proportional to 611.64, 844.05 and 335.64 is: 463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 844.05 = 335.64 : x
  2. Step 2: Convert to fraction form
    611.64/844.05 = 335.64/x
  3. Step 3: Cross multiply
    611.64x = 844.05 × 335.64
  4. Step 4: Simplify right side
    611.64x = 283,296.94
  5. Step 5: Solve for x
    x = 283,296.94/611.64
  6. Step 6: Final answer
    x = 463.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.