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Finding the Fourth Proportional to 610.90, 842.43 and 362.23

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Solution

The fourth proportional to 610.90, 842.43 and 362.23 is: 499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 842.43 = 362.23 : x
  2. Step 2: Convert to fraction form
    610.90/842.43 = 362.23/x
  3. Step 3: Cross multiply
    610.90x = 842.43 × 362.23
  4. Step 4: Simplify right side
    610.90x = 305,153.42
  5. Step 5: Solve for x
    x = 305,153.42/610.90
  6. Step 6: Final answer
    x = 499.51

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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.