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Finding the Fourth Proportional to 547.84, 820.84 and 352.36

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Solution

The fourth proportional to 547.84, 820.84 and 352.36 is: 527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 820.84 = 352.36 : x
  2. Step 2: Convert to fraction form
    547.84/820.84 = 352.36/x
  3. Step 3: Cross multiply
    547.84x = 820.84 × 352.36
  4. Step 4: Simplify right side
    547.84x = 289,231.18
  5. Step 5: Solve for x
    x = 289,231.18/547.84
  6. Step 6: Final answer
    x = 527.95

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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.