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Finding the Fourth Proportional to 607.94, 912.05 and 197.06

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Solution

The fourth proportional to 607.94, 912.05 and 197.06 is: 295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.94 : 912.05 = 197.06 : x
  2. Step 2: Convert to fraction form
    607.94/912.05 = 197.06/x
  3. Step 3: Cross multiply
    607.94x = 912.05 × 197.06
  4. Step 4: Simplify right side
    607.94x = 179,723.03
  5. Step 5: Solve for x
    x = 179,723.03/607.94
  6. Step 6: Final answer
    x = 295.63

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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.