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Finding the Fourth Proportional to 522.38, 722.43 and 467.03

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Solution

The fourth proportional to 522.38, 722.43 and 467.03 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 722.43 = 467.03 : x
  2. Step 2: Convert to fraction form
    522.38/722.43 = 467.03/x
  3. Step 3: Cross multiply
    522.38x = 722.43 × 467.03
  4. Step 4: Simplify right side
    522.38x = 337,392.87
  5. Step 5: Solve for x
    x = 337,392.87/522.38
  6. Step 6: Final answer
    x = 645.88

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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.