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Finding the Fourth Proportional to 611.64, 844.05 and 349.66

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Solution

The fourth proportional to 611.64, 844.05 and 349.66 is: 482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 844.05 = 349.66 : x
  2. Step 2: Convert to fraction form
    611.64/844.05 = 349.66/x
  3. Step 3: Cross multiply
    611.64x = 844.05 × 349.66
  4. Step 4: Simplify right side
    611.64x = 295,130.52
  5. Step 5: Solve for x
    x = 295,130.52/611.64
  6. Step 6: Final answer
    x = 482.52

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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.