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Finding the Fourth Proportional to 340.95, 470.65 and 230.75

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Solution

The fourth proportional to 340.95, 470.65 and 230.75 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.95 : 470.65 = 230.75 : x
  2. Step 2: Convert to fraction form
    340.95/470.65 = 230.75/x
  3. Step 3: Cross multiply
    340.95x = 470.65 × 230.75
  4. Step 4: Simplify right side
    340.95x = 108,602.49
  5. Step 5: Solve for x
    x = 108,602.49/340.95
  6. Step 6: Final answer
    x = 318.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.