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Finding the Fourth Proportional to 547.77, 821.02 and 342.39

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Solution

The fourth proportional to 547.77, 821.02 and 342.39 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.77 : 821.02 = 342.39 : x
  2. Step 2: Convert to fraction form
    547.77/821.02 = 342.39/x
  3. Step 3: Cross multiply
    547.77x = 821.02 × 342.39
  4. Step 4: Simplify right side
    547.77x = 281,109.04
  5. Step 5: Solve for x
    x = 281,109.04/547.77
  6. Step 6: Final answer
    x = 513.19

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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.