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Finding the Fourth Proportional to 522.52, 720.96 and 364.96

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Solution

The fourth proportional to 522.52, 720.96 and 364.96 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 720.96 = 364.96 : x
  2. Step 2: Convert to fraction form
    522.52/720.96 = 364.96/x
  3. Step 3: Cross multiply
    522.52x = 720.96 × 364.96
  4. Step 4: Simplify right side
    522.52x = 263,121.56
  5. Step 5: Solve for x
    x = 263,121.56/522.52
  6. Step 6: Final answer
    x = 503.56

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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.