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Finding the Fourth Proportional to 340.60, 512.75 and 233.06

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Solution

The fourth proportional to 340.60, 512.75 and 233.06 is: 350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 512.75 = 233.06 : x
  2. Step 2: Convert to fraction form
    340.60/512.75 = 233.06/x
  3. Step 3: Cross multiply
    340.60x = 512.75 × 233.06
  4. Step 4: Simplify right side
    340.60x = 119,501.52
  5. Step 5: Solve for x
    x = 119,501.52/340.60
  6. Step 6: Final answer
    x = 350.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.