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Finding the Fourth Proportional to 342.86, 512.78 and 259.54

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Solution

The fourth proportional to 342.86, 512.78 and 259.54 is: 388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 512.78 = 259.54 : x
  2. Step 2: Convert to fraction form
    342.86/512.78 = 259.54/x
  3. Step 3: Cross multiply
    342.86x = 512.78 × 259.54
  4. Step 4: Simplify right side
    342.86x = 133,084.34
  5. Step 5: Solve for x
    x = 133,084.34/342.86
  6. Step 6: Final answer
    x = 388.17

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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.