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Finding the Fourth Proportional to 601.64, 902.46 and 190.70

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Solution

The fourth proportional to 601.64, 902.46 and 190.70 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 902.46 = 190.70 : x
  2. Step 2: Convert to fraction form
    601.64/902.46 = 190.70/x
  3. Step 3: Cross multiply
    601.64x = 902.46 × 190.70
  4. Step 4: Simplify right side
    601.64x = 172,100.66
  5. Step 5: Solve for x
    x = 172,100.66/601.64
  6. Step 6: Final answer
    x = 286.05

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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.