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Finding the Fourth Proportional to 610.86, 914.91 and 366.87

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Solution

The fourth proportional to 610.86, 914.91 and 366.87 is: 549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.86 : 914.91 = 366.87 : x
  2. Step 2: Convert to fraction form
    610.86/914.91 = 366.87/x
  3. Step 3: Cross multiply
    610.86x = 914.91 × 366.87
  4. Step 4: Simplify right side
    610.86x = 335,653.03
  5. Step 5: Solve for x
    x = 335,653.03/610.86
  6. Step 6: Final answer
    x = 549.48

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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.