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Finding the Fourth Proportional to 944.67, 1,416.52 and 396.70

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Solution

The fourth proportional to 944.67, 1,416.52 and 396.70 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.67 : 1,416.52 = 396.70 : x
  2. Step 2: Convert to fraction form
    944.67/1,416.52 = 396.70/x
  3. Step 3: Cross multiply
    944.67x = 1,416.52 × 396.70
  4. Step 4: Simplify right side
    944.67x = 561,933.48
  5. Step 5: Solve for x
    x = 561,933.48/944.67
  6. Step 6: Final answer
    x = 594.85

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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.