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Finding the Fourth Proportional to 943.97, 1,416.50 and 396.11

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Solution

The fourth proportional to 943.97, 1,416.50 and 396.11 is: 594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.97 : 1,416.50 = 396.11 : x
  2. Step 2: Convert to fraction form
    943.97/1,416.50 = 396.11/x
  3. Step 3: Cross multiply
    943.97x = 1,416.50 × 396.11
  4. Step 4: Simplify right side
    943.97x = 561,080.75
  5. Step 5: Solve for x
    x = 561,080.75/943.97
  6. Step 6: Final answer
    x = 594.39

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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.