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Finding the Fourth Proportional to 556.61, 834.92 and 191.41

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Solution

The fourth proportional to 556.61, 834.92 and 191.41 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 834.92 = 191.41 : x
  2. Step 2: Convert to fraction form
    556.61/834.92 = 191.41/x
  3. Step 3: Cross multiply
    556.61x = 834.92 × 191.41
  4. Step 4: Simplify right side
    556.61x = 159,812.04
  5. Step 5: Solve for x
    x = 159,812.04/556.61
  6. Step 6: Final answer
    x = 287.12

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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.