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Finding the Fourth Proportional to 610.70, 916.07 and 264.15

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Solution

The fourth proportional to 610.70, 916.07 and 264.15 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.70 : 916.07 = 264.15 : x
  2. Step 2: Convert to fraction form
    610.70/916.07 = 264.15/x
  3. Step 3: Cross multiply
    610.70x = 916.07 × 264.15
  4. Step 4: Simplify right side
    610.70x = 241,978.57
  5. Step 5: Solve for x
    x = 241,978.57/610.70
  6. Step 6: Final answer
    x = 396.23

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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.