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Finding the Fourth Proportional to 941.23, 1,410.30 and 324.61

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Solution

The fourth proportional to 941.23, 1,410.30 and 324.61 is: 486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.23 : 1,410.30 = 324.61 : x
  2. Step 2: Convert to fraction form
    941.23/1,410.30 = 324.61/x
  3. Step 3: Cross multiply
    941.23x = 1,410.30 × 324.61
  4. Step 4: Simplify right side
    941.23x = 457,797.48
  5. Step 5: Solve for x
    x = 457,797.48/941.23
  6. Step 6: Final answer
    x = 486.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.