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Finding the Fourth Proportional to 522.45, 782.19 and 467.37

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Solution

The fourth proportional to 522.45, 782.19 and 467.37 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 782.19 = 467.37 : x
  2. Step 2: Convert to fraction form
    522.45/782.19 = 467.37/x
  3. Step 3: Cross multiply
    522.45x = 782.19 × 467.37
  4. Step 4: Simplify right side
    522.45x = 365,572.14
  5. Step 5: Solve for x
    x = 365,572.14/522.45
  6. Step 6: Final answer
    x = 699.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.