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Finding the Fourth Proportional to 522.20, 782.82 and 248.42

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Solution

The fourth proportional to 522.20, 782.82 and 248.42 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 782.82 = 248.42 : x
  2. Step 2: Convert to fraction form
    522.20/782.82 = 248.42/x
  3. Step 3: Cross multiply
    522.20x = 782.82 × 248.42
  4. Step 4: Simplify right side
    522.20x = 194,468.14
  5. Step 5: Solve for x
    x = 194,468.14/522.20
  6. Step 6: Final answer
    x = 372.40

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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.