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Finding the Fourth Proportional to 564.53, 846.87 and 174.56

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Solution

The fourth proportional to 564.53, 846.87 and 174.56 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.53 : 846.87 = 174.56 : x
  2. Step 2: Convert to fraction form
    564.53/846.87 = 174.56/x
  3. Step 3: Cross multiply
    564.53x = 846.87 × 174.56
  4. Step 4: Simplify right side
    564.53x = 147,830.16
  5. Step 5: Solve for x
    x = 147,830.16/564.53
  6. Step 6: Final answer
    x = 261.87

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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.