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Finding the Fourth Proportional to 444.38, 669.89 and 414.64

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Solution

The fourth proportional to 444.38, 669.89 and 414.64 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.38 : 669.89 = 414.64 : x
  2. Step 2: Convert to fraction form
    444.38/669.89 = 414.64/x
  3. Step 3: Cross multiply
    444.38x = 669.89 × 414.64
  4. Step 4: Simplify right side
    444.38x = 277,763.19
  5. Step 5: Solve for x
    x = 277,763.19/444.38
  6. Step 6: Final answer
    x = 625.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.