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Finding the Fourth Proportional to 547.83, 821.07 and 365.27

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Solution

The fourth proportional to 547.83, 821.07 and 365.27 is: 547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.83 : 821.07 = 365.27 : x
  2. Step 2: Convert to fraction form
    547.83/821.07 = 365.27/x
  3. Step 3: Cross multiply
    547.83x = 821.07 × 365.27
  4. Step 4: Simplify right side
    547.83x = 299,908.13
  5. Step 5: Solve for x
    x = 299,908.13/547.83
  6. Step 6: Final answer
    x = 547.45

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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.