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Finding the Fourth Proportional to 522.82, 721.50 and 301.79

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Solution

The fourth proportional to 522.82, 721.50 and 301.79 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 721.50 = 301.79 : x
  2. Step 2: Convert to fraction form
    522.82/721.50 = 301.79/x
  3. Step 3: Cross multiply
    522.82x = 721.50 × 301.79
  4. Step 4: Simplify right side
    522.82x = 217,741.49
  5. Step 5: Solve for x
    x = 217,741.49/522.82
  6. Step 6: Final answer
    x = 416.48

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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.