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Finding the Fourth Proportional to 522.41, 783.53 and 197.78

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Solution

The fourth proportional to 522.41, 783.53 and 197.78 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.41 : 783.53 = 197.78 : x
  2. Step 2: Convert to fraction form
    522.41/783.53 = 197.78/x
  3. Step 3: Cross multiply
    522.41x = 783.53 × 197.78
  4. Step 4: Simplify right side
    522.41x = 154,965.57
  5. Step 5: Solve for x
    x = 154,965.57/522.41
  6. Step 6: Final answer
    x = 296.64

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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.