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Finding the Fourth Proportional to 546.84, 821.34 and 533.88

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Solution

The fourth proportional to 546.84, 821.34 and 533.88 is: 801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.84 : 821.34 = 533.88 : x
  2. Step 2: Convert to fraction form
    546.84/821.34 = 533.88/x
  3. Step 3: Cross multiply
    546.84x = 821.34 × 533.88
  4. Step 4: Simplify right side
    546.84x = 438,497.00
  5. Step 5: Solve for x
    x = 438,497.00/546.84
  6. Step 6: Final answer
    x = 801.87

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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.