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Finding the Fourth Proportional to 395.80, 546.24 and 285.28

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Solution

The fourth proportional to 395.80, 546.24 and 285.28 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.80 : 546.24 = 285.28 : x
  2. Step 2: Convert to fraction form
    395.80/546.24 = 285.28/x
  3. Step 3: Cross multiply
    395.80x = 546.24 × 285.28
  4. Step 4: Simplify right side
    395.80x = 155,831.35
  5. Step 5: Solve for x
    x = 155,831.35/395.80
  6. Step 6: Final answer
    x = 393.71

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