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Finding the Fourth Proportional to 342.75, 513.77 and 240.06

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Solution

The fourth proportional to 342.75, 513.77 and 240.06 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 513.77 = 240.06 : x
  2. Step 2: Convert to fraction form
    342.75/513.77 = 240.06/x
  3. Step 3: Cross multiply
    342.75x = 513.77 × 240.06
  4. Step 4: Simplify right side
    342.75x = 123,334.43
  5. Step 5: Solve for x
    x = 123,334.43/342.75
  6. Step 6: Final answer
    x = 359.84

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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.