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Finding the Fourth Proportional to 395.78, 546.30 and 340.29

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Solution

The fourth proportional to 395.78, 546.30 and 340.29 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 546.30 = 340.29 : x
  2. Step 2: Convert to fraction form
    395.78/546.30 = 340.29/x
  3. Step 3: Cross multiply
    395.78x = 546.30 × 340.29
  4. Step 4: Simplify right side
    395.78x = 185,900.43
  5. Step 5: Solve for x
    x = 185,900.43/395.78
  6. Step 6: Final answer
    x = 469.71

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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.