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Finding the Fourth Proportional to 564.40, 844.44 and 306.64

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Solution

The fourth proportional to 564.40, 844.44 and 306.64 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 844.44 = 306.64 : x
  2. Step 2: Convert to fraction form
    564.40/844.44 = 306.64/x
  3. Step 3: Cross multiply
    564.40x = 844.44 × 306.64
  4. Step 4: Simplify right side
    564.40x = 258,939.08
  5. Step 5: Solve for x
    x = 258,939.08/564.40
  6. Step 6: Final answer
    x = 458.79

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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.