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Finding the Fourth Proportional to 547.61, 820.10 and 383.25

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Solution

The fourth proportional to 547.61, 820.10 and 383.25 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 820.10 = 383.25 : x
  2. Step 2: Convert to fraction form
    547.61/820.10 = 383.25/x
  3. Step 3: Cross multiply
    547.61x = 820.10 × 383.25
  4. Step 4: Simplify right side
    547.61x = 314,299.59
  5. Step 5: Solve for x
    x = 314,299.59/547.61
  6. Step 6: Final answer
    x = 573.94

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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.