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Finding the Fourth Proportional to 395.63, 546.14 and 238.28

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Solution

The fourth proportional to 395.63, 546.14 and 238.28 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.63 : 546.14 = 238.28 : x
  2. Step 2: Convert to fraction form
    395.63/546.14 = 238.28/x
  3. Step 3: Cross multiply
    395.63x = 546.14 × 238.28
  4. Step 4: Simplify right side
    395.63x = 130,133.05
  5. Step 5: Solve for x
    x = 130,133.05/395.63
  6. Step 6: Final answer
    x = 328.93

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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.