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Finding the Fourth Proportional to 944.97, 1,418.00 and 397.11

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Solution

The fourth proportional to 944.97, 1,418.00 and 397.11 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.97 : 1,418.00 = 397.11 : x
  2. Step 2: Convert to fraction form
    944.97/1,418.00 = 397.11/x
  3. Step 3: Cross multiply
    944.97x = 1,418.00 × 397.11
  4. Step 4: Simplify right side
    944.97x = 563,099.99
  5. Step 5: Solve for x
    x = 563,099.99/944.97
  6. Step 6: Final answer
    x = 595.89

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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.