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Finding the Fourth Proportional to 522.23, 720.80 and 301.31

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Solution

The fourth proportional to 522.23, 720.80 and 301.31 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 720.80 = 301.31 : x
  2. Step 2: Convert to fraction form
    522.23/720.80 = 301.31/x
  3. Step 3: Cross multiply
    522.23x = 720.80 × 301.31
  4. Step 4: Simplify right side
    522.23x = 217,182.45
  5. Step 5: Solve for x
    x = 217,182.45/522.23
  6. Step 6: Final answer
    x = 415.88

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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.