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Finding the Fourth Proportional to 547.61, 821.41 and 386.62

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Solution

The fourth proportional to 547.61, 821.41 and 386.62 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 821.41 = 386.62 : x
  2. Step 2: Convert to fraction form
    547.61/821.41 = 386.62/x
  3. Step 3: Cross multiply
    547.61x = 821.41 × 386.62
  4. Step 4: Simplify right side
    547.61x = 317,573.53
  5. Step 5: Solve for x
    x = 317,573.53/547.61
  6. Step 6: Final answer
    x = 579.93

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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.