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Finding the Fourth Proportional to 564.45, 846.27 and 381.39

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Solution

The fourth proportional to 564.45, 846.27 and 381.39 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 846.27 = 381.39 : x
  2. Step 2: Convert to fraction form
    564.45/846.27 = 381.39/x
  3. Step 3: Cross multiply
    564.45x = 846.27 × 381.39
  4. Step 4: Simplify right side
    564.45x = 322,758.92
  5. Step 5: Solve for x
    x = 322,758.92/564.45
  6. Step 6: Final answer
    x = 571.81

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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.