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Finding the Fourth Proportional to 388.15, 582.37 and 234.19

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Solution

The fourth proportional to 388.15, 582.37 and 234.19 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.15 : 582.37 = 234.19 : x
  2. Step 2: Convert to fraction form
    388.15/582.37 = 234.19/x
  3. Step 3: Cross multiply
    388.15x = 582.37 × 234.19
  4. Step 4: Simplify right side
    388.15x = 136,384.07
  5. Step 5: Solve for x
    x = 136,384.07/388.15
  6. Step 6: Final answer
    x = 351.37

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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.