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Finding the Fourth Proportional to 564.22, 844.56 and 359.02

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Solution

The fourth proportional to 564.22, 844.56 and 359.02 is: 537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 844.56 = 359.02 : x
  2. Step 2: Convert to fraction form
    564.22/844.56 = 359.02/x
  3. Step 3: Cross multiply
    564.22x = 844.56 × 359.02
  4. Step 4: Simplify right side
    564.22x = 303,213.93
  5. Step 5: Solve for x
    x = 303,213.93/564.22
  6. Step 6: Final answer
    x = 537.40

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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.