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Finding the Fourth Proportional to 611.15, 914.43 and 406.22

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Solution

The fourth proportional to 611.15, 914.43 and 406.22 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.15 : 914.43 = 406.22 : x
  2. Step 2: Convert to fraction form
    611.15/914.43 = 406.22/x
  3. Step 3: Cross multiply
    611.15x = 914.43 × 406.22
  4. Step 4: Simplify right side
    611.15x = 371,459.75
  5. Step 5: Solve for x
    x = 371,459.75/611.15
  6. Step 6: Final answer
    x = 607.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.