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Finding the Fourth Proportional to 522.01, 782.55 and 197.14

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Solution

The fourth proportional to 522.01, 782.55 and 197.14 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.01 : 782.55 = 197.14 : x
  2. Step 2: Convert to fraction form
    522.01/782.55 = 197.14/x
  3. Step 3: Cross multiply
    522.01x = 782.55 × 197.14
  4. Step 4: Simplify right side
    522.01x = 154,267.99
  5. Step 5: Solve for x
    x = 154,267.99/522.01
  6. Step 6: Final answer
    x = 295.53

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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.