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Finding the Fourth Proportional to 564.36, 845.78 and 289.88

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Solution

The fourth proportional to 564.36, 845.78 and 289.88 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 845.78 = 289.88 : x
  2. Step 2: Convert to fraction form
    564.36/845.78 = 289.88/x
  3. Step 3: Cross multiply
    564.36x = 845.78 × 289.88
  4. Step 4: Simplify right side
    564.36x = 245,169.03
  5. Step 5: Solve for x
    x = 245,169.03/564.36
  6. Step 6: Final answer
    x = 434.42

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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.