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Finding the Fourth Proportional to 564.47, 846.75 and 174.44

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Solution

The fourth proportional to 564.47, 846.75 and 174.44 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 846.75 = 174.44 : x
  2. Step 2: Convert to fraction form
    564.47/846.75 = 174.44/x
  3. Step 3: Cross multiply
    564.47x = 846.75 × 174.44
  4. Step 4: Simplify right side
    564.47x = 147,707.07
  5. Step 5: Solve for x
    x = 147,707.07/564.47
  6. Step 6: Final answer
    x = 261.67

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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.