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Finding the Fourth Proportional to 522.15, 782.16 and 367.39

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Solution

The fourth proportional to 522.15, 782.16 and 367.39 is: 550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 782.16 = 367.39 : x
  2. Step 2: Convert to fraction form
    522.15/782.16 = 367.39/x
  3. Step 3: Cross multiply
    522.15x = 782.16 × 367.39
  4. Step 4: Simplify right side
    522.15x = 287,352.96
  5. Step 5: Solve for x
    x = 287,352.96/522.15
  6. Step 6: Final answer
    x = 550.33

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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.