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Finding the Fourth Proportional to 610.50, 842.28 and 361.91

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Solution

The fourth proportional to 610.50, 842.28 and 361.91 is: 499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 842.28 = 361.91 : x
  2. Step 2: Convert to fraction form
    610.50/842.28 = 361.91/x
  3. Step 3: Cross multiply
    610.50x = 842.28 × 361.91
  4. Step 4: Simplify right side
    610.50x = 304,825.34
  5. Step 5: Solve for x
    x = 304,825.34/610.50
  6. Step 6: Final answer
    x = 499.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.