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Finding the Fourth Proportional to 944.34, 1,415.58 and 396.90

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Solution

The fourth proportional to 944.34, 1,415.58 and 396.90 is: 594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.34 : 1,415.58 = 396.90 : x
  2. Step 2: Convert to fraction form
    944.34/1,415.58 = 396.90/x
  3. Step 3: Cross multiply
    944.34x = 1,415.58 × 396.90
  4. Step 4: Simplify right side
    944.34x = 561,843.70
  5. Step 5: Solve for x
    x = 561,843.70/944.34
  6. Step 6: Final answer
    x = 594.96

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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.