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Finding the Fourth Proportional to 611.64, 844.26 and 415.08

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Solution

The fourth proportional to 611.64, 844.26 and 415.08 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 844.26 = 415.08 : x
  2. Step 2: Convert to fraction form
    611.64/844.26 = 415.08/x
  3. Step 3: Cross multiply
    611.64x = 844.26 × 415.08
  4. Step 4: Simplify right side
    611.64x = 350,435.44
  5. Step 5: Solve for x
    x = 350,435.44/611.64
  6. Step 6: Final answer
    x = 572.94

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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.