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Finding the Fourth Proportional to 564.83, 847 and 199.53

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Solution

The fourth proportional to 564.83, 847 and 199.53 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 847 = 199.53 : x
  2. Step 2: Convert to fraction form
    564.83/847 = 199.53/x
  3. Step 3: Cross multiply
    564.83x = 847 × 199.53
  4. Step 4: Simplify right side
    564.83x = 169,001.91
  5. Step 5: Solve for x
    x = 169,001.91/564.83
  6. Step 6: Final answer
    x = 299.21

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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.