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Finding the Fourth Proportional to 563.13, 844.70 and 197.93

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Solution

The fourth proportional to 563.13, 844.70 and 197.93 is: 296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 844.70 = 197.93 : x
  2. Step 2: Convert to fraction form
    563.13/844.70 = 197.93/x
  3. Step 3: Cross multiply
    563.13x = 844.70 × 197.93
  4. Step 4: Simplify right side
    563.13x = 167,194.08
  5. Step 5: Solve for x
    x = 167,194.08/563.13
  6. Step 6: Final answer
    x = 296.90

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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.