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Finding the Fourth Proportional to 522.52, 782.72 and 367.76

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Solution

The fourth proportional to 522.52, 782.72 and 367.76 is: 550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 782.72 = 367.76 : x
  2. Step 2: Convert to fraction form
    522.52/782.72 = 367.76/x
  3. Step 3: Cross multiply
    522.52x = 782.72 × 367.76
  4. Step 4: Simplify right side
    522.52x = 287,854.60
  5. Step 5: Solve for x
    x = 287,854.60/522.52
  6. Step 6: Final answer
    x = 550.90

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