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Finding the Fourth Proportional to 501.74, 748.73 and 447.20

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Solution

The fourth proportional to 501.74, 748.73 and 447.20 is: 667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 748.73 = 447.20 : x
  2. Step 2: Convert to fraction form
    501.74/748.73 = 447.20/x
  3. Step 3: Cross multiply
    501.74x = 748.73 × 447.20
  4. Step 4: Simplify right side
    501.74x = 334,832.06
  5. Step 5: Solve for x
    x = 334,832.06/501.74
  6. Step 6: Final answer
    x = 667.34

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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.