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Finding the Fourth Proportional to 669.46, 1,005.27 and 414.58

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Solution

The fourth proportional to 669.46, 1,005.27 and 414.58 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.46 : 1,005.27 = 414.58 : x
  2. Step 2: Convert to fraction form
    669.46/1,005.27 = 414.58/x
  3. Step 3: Cross multiply
    669.46x = 1,005.27 × 414.58
  4. Step 4: Simplify right side
    669.46x = 416,764.84
  5. Step 5: Solve for x
    x = 416,764.84/669.46
  6. Step 6: Final answer
    x = 622.54

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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.