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Finding the Fourth Proportional to 522.30, 720.86 and 301.20

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Solution

The fourth proportional to 522.30, 720.86 and 301.20 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 720.86 = 301.20 : x
  2. Step 2: Convert to fraction form
    522.30/720.86 = 301.20/x
  3. Step 3: Cross multiply
    522.30x = 720.86 × 301.20
  4. Step 4: Simplify right side
    522.30x = 217,123.03
  5. Step 5: Solve for x
    x = 217,123.03/522.30
  6. Step 6: Final answer
    x = 415.71

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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.