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Finding the Fourth Proportional to 564.48, 846.87 and 194.34

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Solution

The fourth proportional to 564.48, 846.87 and 194.34 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 846.87 = 194.34 : x
  2. Step 2: Convert to fraction form
    564.48/846.87 = 194.34/x
  3. Step 3: Cross multiply
    564.48x = 846.87 × 194.34
  4. Step 4: Simplify right side
    564.48x = 164,580.72
  5. Step 5: Solve for x
    x = 164,580.72/564.48
  6. Step 6: Final answer
    x = 291.56

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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.