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Finding the Fourth Proportional to 611.72, 844.03 and 412.92

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Solution

The fourth proportional to 611.72, 844.03 and 412.92 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.72 : 844.03 = 412.92 : x
  2. Step 2: Convert to fraction form
    611.72/844.03 = 412.92/x
  3. Step 3: Cross multiply
    611.72x = 844.03 × 412.92
  4. Step 4: Simplify right side
    611.72x = 348,510.58
  5. Step 5: Solve for x
    x = 348,510.58/611.72
  6. Step 6: Final answer
    x = 569.73

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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.