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Finding the Fourth Proportional to 547.22, 821.07 and 425.30

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Solution

The fourth proportional to 547.22, 821.07 and 425.30 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 821.07 = 425.30 : x
  2. Step 2: Convert to fraction form
    547.22/821.07 = 425.30/x
  3. Step 3: Cross multiply
    547.22x = 821.07 × 425.30
  4. Step 4: Simplify right side
    547.22x = 349,201.07
  5. Step 5: Solve for x
    x = 349,201.07/547.22
  6. Step 6: Final answer
    x = 638.14

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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.