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Finding the Fourth Proportional to 564.78, 847.17 and 382.35

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Solution

The fourth proportional to 564.78, 847.17 and 382.35 is: 573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 847.17 = 382.35 : x
  2. Step 2: Convert to fraction form
    564.78/847.17 = 382.35/x
  3. Step 3: Cross multiply
    564.78x = 847.17 × 382.35
  4. Step 4: Simplify right side
    564.78x = 323,915.45
  5. Step 5: Solve for x
    x = 323,915.45/564.78
  6. Step 6: Final answer
    x = 573.53

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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.