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Finding the Fourth Proportional to 522.25, 720.63 and 301.25

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Solution

The fourth proportional to 522.25, 720.63 and 301.25 is: 415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 720.63 = 301.25 : x
  2. Step 2: Convert to fraction form
    522.25/720.63 = 301.25/x
  3. Step 3: Cross multiply
    522.25x = 720.63 × 301.25
  4. Step 4: Simplify right side
    522.25x = 217,091.59
  5. Step 5: Solve for x
    x = 217,091.59/522.25
  6. Step 6: Final answer
    x = 415.69

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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.