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Finding the Fourth Proportional to 562.94, 844.42 and 197.84

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Solution

The fourth proportional to 562.94, 844.42 and 197.84 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 844.42 = 197.84 : x
  2. Step 2: Convert to fraction form
    562.94/844.42 = 197.84/x
  3. Step 3: Cross multiply
    562.94x = 844.42 × 197.84
  4. Step 4: Simplify right side
    562.94x = 167,055.34
  5. Step 5: Solve for x
    x = 167,055.34/562.94
  6. Step 6: Final answer
    x = 296.75

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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.