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Finding the Fourth Proportional to 564.18, 845.64 and 333.42

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Solution

The fourth proportional to 564.18, 845.64 and 333.42 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.18 : 845.64 = 333.42 : x
  2. Step 2: Convert to fraction form
    564.18/845.64 = 333.42/x
  3. Step 3: Cross multiply
    564.18x = 845.64 × 333.42
  4. Step 4: Simplify right side
    564.18x = 281,953.29
  5. Step 5: Solve for x
    x = 281,953.29/564.18
  6. Step 6: Final answer
    x = 499.76

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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.