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Finding the Fourth Proportional to 610.80, 916.22 and 437.86

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Solution

The fourth proportional to 610.80, 916.22 and 437.86 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 916.22 = 437.86 : x
  2. Step 2: Convert to fraction form
    610.80/916.22 = 437.86/x
  3. Step 3: Cross multiply
    610.80x = 916.22 × 437.86
  4. Step 4: Simplify right side
    610.80x = 401,176.09
  5. Step 5: Solve for x
    x = 401,176.09/610.80
  6. Step 6: Final answer
    x = 656.80

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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.