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Finding the Fourth Proportional to 547.71, 821.97 and 304.71

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Solution

The fourth proportional to 547.71, 821.97 and 304.71 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 821.97 = 304.71 : x
  2. Step 2: Convert to fraction form
    547.71/821.97 = 304.71/x
  3. Step 3: Cross multiply
    547.71x = 821.97 × 304.71
  4. Step 4: Simplify right side
    547.71x = 250,462.48
  5. Step 5: Solve for x
    x = 250,462.48/547.71
  6. Step 6: Final answer
    x = 457.29

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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.