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Finding the Fourth Proportional to 340.39, 469.63 and 229.69

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Solution

The fourth proportional to 340.39, 469.63 and 229.69 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 469.63 = 229.69 : x
  2. Step 2: Convert to fraction form
    340.39/469.63 = 229.69/x
  3. Step 3: Cross multiply
    340.39x = 469.63 × 229.69
  4. Step 4: Simplify right side
    340.39x = 107,869.31
  5. Step 5: Solve for x
    x = 107,869.31/340.39
  6. Step 6: Final answer
    x = 316.90

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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.