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Finding the Fourth Proportional to 610.96, 916.26 and 264.22

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Solution

The fourth proportional to 610.96, 916.26 and 264.22 is: 396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 916.26 = 264.22 : x
  2. Step 2: Convert to fraction form
    610.96/916.26 = 264.22/x
  3. Step 3: Cross multiply
    610.96x = 916.26 × 264.22
  4. Step 4: Simplify right side
    610.96x = 242,090.70
  5. Step 5: Solve for x
    x = 242,090.70/610.96
  6. Step 6: Final answer
    x = 396.24

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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.