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Finding the Fourth Proportional to 444.19, 669.61 and 414.46

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Solution

The fourth proportional to 444.19, 669.61 and 414.46 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.19 : 669.61 = 414.46 : x
  2. Step 2: Convert to fraction form
    444.19/669.61 = 414.46/x
  3. Step 3: Cross multiply
    444.19x = 669.61 × 414.46
  4. Step 4: Simplify right side
    444.19x = 277,526.56
  5. Step 5: Solve for x
    x = 277,526.56/444.19
  6. Step 6: Final answer
    x = 624.79

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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.