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Finding the Fourth Proportional to 564.08, 845.16 and 347.22

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Solution

The fourth proportional to 564.08, 845.16 and 347.22 is: 520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 845.16 = 347.22 : x
  2. Step 2: Convert to fraction form
    564.08/845.16 = 347.22/x
  3. Step 3: Cross multiply
    564.08x = 845.16 × 347.22
  4. Step 4: Simplify right side
    564.08x = 293,456.46
  5. Step 5: Solve for x
    x = 293,456.46/564.08
  6. Step 6: Final answer
    x = 520.24

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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.