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Finding the Fourth Proportional to 522.18, 782.82 and 197.78

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Solution

The fourth proportional to 522.18, 782.82 and 197.78 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 782.82 = 197.78 : x
  2. Step 2: Convert to fraction form
    522.18/782.82 = 197.78/x
  3. Step 3: Cross multiply
    522.18x = 782.82 × 197.78
  4. Step 4: Simplify right side
    522.18x = 154,826.14
  5. Step 5: Solve for x
    x = 154,826.14/522.18
  6. Step 6: Final answer
    x = 296.50

Related Problems

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Double scale
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Similar ratio
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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.