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Finding the Fourth Proportional to 522.23, 720.63 and 301.14

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Solution

The fourth proportional to 522.23, 720.63 and 301.14 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 720.63 = 301.14 : x
  2. Step 2: Convert to fraction form
    522.23/720.63 = 301.14/x
  3. Step 3: Cross multiply
    522.23x = 720.63 × 301.14
  4. Step 4: Simplify right side
    522.23x = 217,010.52
  5. Step 5: Solve for x
    x = 217,010.52/522.23
  6. Step 6: Final answer
    x = 415.55

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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.