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Finding the Fourth Proportional to 380.06, 570.37 and 293.61

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Solution

The fourth proportional to 380.06, 570.37 and 293.61 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 570.37 = 293.61 : x
  2. Step 2: Convert to fraction form
    380.06/570.37 = 293.61/x
  3. Step 3: Cross multiply
    380.06x = 570.37 × 293.61
  4. Step 4: Simplify right side
    380.06x = 167,466.34
  5. Step 5: Solve for x
    x = 167,466.34/380.06
  6. Step 6: Final answer
    x = 440.63

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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.