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Finding the Fourth Proportional to 544.60, 816.42 and 197.68

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Solution

The fourth proportional to 544.60, 816.42 and 197.68 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 816.42 = 197.68 : x
  2. Step 2: Convert to fraction form
    544.60/816.42 = 197.68/x
  3. Step 3: Cross multiply
    544.60x = 816.42 × 197.68
  4. Step 4: Simplify right side
    544.60x = 161,389.91
  5. Step 5: Solve for x
    x = 161,389.91/544.60
  6. Step 6: Final answer
    x = 296.35

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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.