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Finding the Fourth Proportional to 556.87, 835.06 and 191.69

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Solution

The fourth proportional to 556.87, 835.06 and 191.69 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.87 : 835.06 = 191.69 : x
  2. Step 2: Convert to fraction form
    556.87/835.06 = 191.69/x
  3. Step 3: Cross multiply
    556.87x = 835.06 × 191.69
  4. Step 4: Simplify right side
    556.87x = 160,074.26
  5. Step 5: Solve for x
    x = 160,074.26/556.87
  6. Step 6: Final answer
    x = 287.45

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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.