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Finding the Fourth Proportional to 622.01, 929.68 and 447.53

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Solution

The fourth proportional to 622.01, 929.68 and 447.53 is: 668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.01 : 929.68 = 447.53 : x
  2. Step 2: Convert to fraction form
    622.01/929.68 = 447.53/x
  3. Step 3: Cross multiply
    622.01x = 929.68 × 447.53
  4. Step 4: Simplify right side
    622.01x = 416,053.92
  5. Step 5: Solve for x
    x = 416,053.92/622.01
  6. Step 6: Final answer
    x = 668.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.