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Finding the Fourth Proportional to 564.52, 846.67 and 194.35

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Solution

The fourth proportional to 564.52, 846.67 and 194.35 is: 291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 846.67 = 194.35 : x
  2. Step 2: Convert to fraction form
    564.52/846.67 = 194.35/x
  3. Step 3: Cross multiply
    564.52x = 846.67 × 194.35
  4. Step 4: Simplify right side
    564.52x = 164,548.68
  5. Step 5: Solve for x
    x = 164,548.68/564.52
  6. Step 6: Final answer
    x = 291.49

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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.