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Finding the Fourth Proportional to 610.08, 914.20 and 366.34

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Solution

The fourth proportional to 610.08, 914.20 and 366.34 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 914.20 = 366.34 : x
  2. Step 2: Convert to fraction form
    610.08/914.20 = 366.34/x
  3. Step 3: Cross multiply
    610.08x = 914.20 × 366.34
  4. Step 4: Simplify right side
    610.08x = 334,908.03
  5. Step 5: Solve for x
    x = 334,908.03/610.08
  6. Step 6: Final answer
    x = 548.96

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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.