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Finding the Fourth Proportional to 522.18, 782.75 and 248.47

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Solution

The fourth proportional to 522.18, 782.75 and 248.47 is: 372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 782.75 = 248.47 : x
  2. Step 2: Convert to fraction form
    522.18/782.75 = 248.47/x
  3. Step 3: Cross multiply
    522.18x = 782.75 × 248.47
  4. Step 4: Simplify right side
    522.18x = 194,488.56
  5. Step 5: Solve for x
    x = 194,488.56/522.18
  6. Step 6: Final answer
    x = 372.46

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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.