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Finding the Fourth Proportional to 601.82, 902.42 and 293.70

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Solution

The fourth proportional to 601.82, 902.42 and 293.70 is: 440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 902.42 = 293.70 : x
  2. Step 2: Convert to fraction form
    601.82/902.42 = 293.70/x
  3. Step 3: Cross multiply
    601.82x = 902.42 × 293.70
  4. Step 4: Simplify right side
    601.82x = 265,040.75
  5. Step 5: Solve for x
    x = 265,040.75/601.82
  6. Step 6: Final answer
    x = 440.40

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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.