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Finding the Fourth Proportional to 547.89, 822.24 and 384.54

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Solution

The fourth proportional to 547.89, 822.24 and 384.54 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.89 : 822.24 = 384.54 : x
  2. Step 2: Convert to fraction form
    547.89/822.24 = 384.54/x
  3. Step 3: Cross multiply
    547.89x = 822.24 × 384.54
  4. Step 4: Simplify right side
    547.89x = 316,184.17
  5. Step 5: Solve for x
    x = 316,184.17/547.89
  6. Step 6: Final answer
    x = 577.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.