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Finding the Fourth Proportional to 610.67, 916.09 and 240.64

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Solution

The fourth proportional to 610.67, 916.09 and 240.64 is: 360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.67 : 916.09 = 240.64 : x
  2. Step 2: Convert to fraction form
    610.67/916.09 = 240.64/x
  3. Step 3: Cross multiply
    610.67x = 916.09 × 240.64
  4. Step 4: Simplify right side
    610.67x = 220,445.01
  5. Step 5: Solve for x
    x = 220,445.01/610.67
  6. Step 6: Final answer
    x = 360.99

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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.