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Finding the Fourth Proportional to 547.41, 819.32 and 416.71

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Solution

The fourth proportional to 547.41, 819.32 and 416.71 is: 623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 819.32 = 416.71 : x
  2. Step 2: Convert to fraction form
    547.41/819.32 = 416.71/x
  3. Step 3: Cross multiply
    547.41x = 819.32 × 416.71
  4. Step 4: Simplify right side
    547.41x = 341,420.12
  5. Step 5: Solve for x
    x = 341,420.12/547.41
  6. Step 6: Final answer
    x = 623.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.