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Finding the Fourth Proportional to 395.87, 546.56 and 354.35

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Solution

The fourth proportional to 395.87, 546.56 and 354.35 is: 489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.87 : 546.56 = 354.35 : x
  2. Step 2: Convert to fraction form
    395.87/546.56 = 354.35/x
  3. Step 3: Cross multiply
    395.87x = 546.56 × 354.35
  4. Step 4: Simplify right side
    395.87x = 193,671.76
  5. Step 5: Solve for x
    x = 193,671.76/395.87
  6. Step 6: Final answer
    x = 489.23

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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.