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Finding the Fourth Proportional to 340.60, 511.24 and 230.56

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Solution

The fourth proportional to 340.60, 511.24 and 230.56 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 511.24 = 230.56 : x
  2. Step 2: Convert to fraction form
    340.60/511.24 = 230.56/x
  3. Step 3: Cross multiply
    340.60x = 511.24 × 230.56
  4. Step 4: Simplify right side
    340.60x = 117,871.49
  5. Step 5: Solve for x
    x = 117,871.49/340.60
  6. Step 6: Final answer
    x = 346.07

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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.