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Finding the Fourth Proportional to 564.28, 845.34 and 303.64

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Solution

The fourth proportional to 564.28, 845.34 and 303.64 is: 454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 845.34 = 303.64 : x
  2. Step 2: Convert to fraction form
    564.28/845.34 = 303.64/x
  3. Step 3: Cross multiply
    564.28x = 845.34 × 303.64
  4. Step 4: Simplify right side
    564.28x = 256,679.04
  5. Step 5: Solve for x
    x = 256,679.04/564.28
  6. Step 6: Final answer
    x = 454.88

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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.