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Finding the Fourth Proportional to 522.42, 783.71 and 197.87

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Solution

The fourth proportional to 522.42, 783.71 and 197.87 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 783.71 = 197.87 : x
  2. Step 2: Convert to fraction form
    522.42/783.71 = 197.87/x
  3. Step 3: Cross multiply
    522.42x = 783.71 × 197.87
  4. Step 4: Simplify right side
    522.42x = 155,067.79
  5. Step 5: Solve for x
    x = 155,067.79/522.42
  6. Step 6: Final answer
    x = 296.83

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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.