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Finding the Fourth Proportional to 522.48, 721.10 and 301.43

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Solution

The fourth proportional to 522.48, 721.10 and 301.43 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 721.10 = 301.43 : x
  2. Step 2: Convert to fraction form
    522.48/721.10 = 301.43/x
  3. Step 3: Cross multiply
    522.48x = 721.10 × 301.43
  4. Step 4: Simplify right side
    522.48x = 217,361.17
  5. Step 5: Solve for x
    x = 217,361.17/522.48
  6. Step 6: Final answer
    x = 416.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.