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Finding the Fourth Proportional to 564.36, 846.52 and 174.36

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Solution

The fourth proportional to 564.36, 846.52 and 174.36 is: 261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 846.52 = 174.36 : x
  2. Step 2: Convert to fraction form
    564.36/846.52 = 174.36/x
  3. Step 3: Cross multiply
    564.36x = 846.52 × 174.36
  4. Step 4: Simplify right side
    564.36x = 147,599.23
  5. Step 5: Solve for x
    x = 147,599.23/564.36
  6. Step 6: Final answer
    x = 261.53

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Similar ratio
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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.