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Finding the Fourth Proportional to 340.76, 470.23 and 230.06

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Solution

The fourth proportional to 340.76, 470.23 and 230.06 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 470.23 = 230.06 : x
  2. Step 2: Convert to fraction form
    340.76/470.23 = 230.06/x
  3. Step 3: Cross multiply
    340.76x = 470.23 × 230.06
  4. Step 4: Simplify right side
    340.76x = 108,181.71
  5. Step 5: Solve for x
    x = 108,181.71/340.76
  6. Step 6: Final answer
    x = 317.47

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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.