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Finding the Fourth Proportional to 941.25, 1,411.95 and 324.95

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Solution

The fourth proportional to 941.25, 1,411.95 and 324.95 is: 487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.25 : 1,411.95 = 324.95 : x
  2. Step 2: Convert to fraction form
    941.25/1,411.95 = 324.95/x
  3. Step 3: Cross multiply
    941.25x = 1,411.95 × 324.95
  4. Step 4: Simplify right side
    941.25x = 458,816.68
  5. Step 5: Solve for x
    x = 458,816.68/941.25
  6. Step 6: Final answer
    x = 487.45

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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.