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Finding the Fourth Proportional to 610.41, 914.96 and 263.91

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Solution

The fourth proportional to 610.41, 914.96 and 263.91 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.41 : 914.96 = 263.91 : x
  2. Step 2: Convert to fraction form
    610.41/914.96 = 263.91/x
  3. Step 3: Cross multiply
    610.41x = 914.96 × 263.91
  4. Step 4: Simplify right side
    610.41x = 241,461.20
  5. Step 5: Solve for x
    x = 241,461.20/610.41
  6. Step 6: Final answer
    x = 395.58

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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.