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Finding the Fourth Proportional to 944.13, 1,415.91 and 396.30

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Solution

The fourth proportional to 944.13, 1,415.91 and 396.30 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.13 : 1,415.91 = 396.30 : x
  2. Step 2: Convert to fraction form
    944.13/1,415.91 = 396.30/x
  3. Step 3: Cross multiply
    944.13x = 1,415.91 × 396.30
  4. Step 4: Simplify right side
    944.13x = 561,125.13
  5. Step 5: Solve for x
    x = 561,125.13/944.13
  6. Step 6: Final answer
    x = 594.33

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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.