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Finding the Fourth Proportional to 944.16, 1,414.62 and 450.06

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Solution

The fourth proportional to 944.16, 1,414.62 and 450.06 is: 674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,414.62 = 450.06 : x
  2. Step 2: Convert to fraction form
    944.16/1,414.62 = 450.06/x
  3. Step 3: Cross multiply
    944.16x = 1,414.62 × 450.06
  4. Step 4: Simplify right side
    944.16x = 636,663.88
  5. Step 5: Solve for x
    x = 636,663.88/944.16
  6. Step 6: Final answer
    x = 674.32

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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.