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Finding the Fourth Proportional to 610.90, 916.17 and 264.15

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Solution

The fourth proportional to 610.90, 916.17 and 264.15 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 916.17 = 264.15 : x
  2. Step 2: Convert to fraction form
    610.90/916.17 = 264.15/x
  3. Step 3: Cross multiply
    610.90x = 916.17 × 264.15
  4. Step 4: Simplify right side
    610.90x = 242,007.94
  5. Step 5: Solve for x
    x = 242,007.94/610.90
  6. Step 6: Final answer
    x = 396.15

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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.