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Finding the Fourth Proportional to 610.20, 913.86 and 366.12

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Solution

The fourth proportional to 610.20, 913.86 and 366.12 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 913.86 = 366.12 : x
  2. Step 2: Convert to fraction form
    610.20/913.86 = 366.12/x
  3. Step 3: Cross multiply
    610.20x = 913.86 × 366.12
  4. Step 4: Simplify right side
    610.20x = 334,582.42
  5. Step 5: Solve for x
    x = 334,582.42/610.20
  6. Step 6: Final answer
    x = 548.32

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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.