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Finding the Fourth Proportional to 522.90, 721.64 and 301.84

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Solution

The fourth proportional to 522.90, 721.64 and 301.84 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 721.64 = 301.84 : x
  2. Step 2: Convert to fraction form
    522.90/721.64 = 301.84/x
  3. Step 3: Cross multiply
    522.90x = 721.64 × 301.84
  4. Step 4: Simplify right side
    522.90x = 217,819.82
  5. Step 5: Solve for x
    x = 217,819.82/522.90
  6. Step 6: Final answer
    x = 416.56

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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.