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Finding the Fourth Proportional to 564.17, 845.90 and 174.05

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Solution

The fourth proportional to 564.17, 845.90 and 174.05 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 845.90 = 174.05 : x
  2. Step 2: Convert to fraction form
    564.17/845.90 = 174.05/x
  3. Step 3: Cross multiply
    564.17x = 845.90 × 174.05
  4. Step 4: Simplify right side
    564.17x = 147,223.80
  5. Step 5: Solve for x
    x = 147,223.80/564.17
  6. Step 6: Final answer
    x = 260.96

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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.