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Finding the Fourth Proportional to 610.74, 916.21 and 263.99

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Solution

The fourth proportional to 610.74, 916.21 and 263.99 is: 396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 916.21 = 263.99 : x
  2. Step 2: Convert to fraction form
    610.74/916.21 = 263.99/x
  3. Step 3: Cross multiply
    610.74x = 916.21 × 263.99
  4. Step 4: Simplify right side
    610.74x = 241,872.90
  5. Step 5: Solve for x
    x = 241,872.90/610.74
  6. Step 6: Final answer
    x = 396.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.