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Finding the Fourth Proportional to 564.19, 846.29 and 179.44

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Solution

The fourth proportional to 564.19, 846.29 and 179.44 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 846.29 = 179.44 : x
  2. Step 2: Convert to fraction form
    564.19/846.29 = 179.44/x
  3. Step 3: Cross multiply
    564.19x = 846.29 × 179.44
  4. Step 4: Simplify right side
    564.19x = 151,856.61
  5. Step 5: Solve for x
    x = 151,856.61/564.19
  6. Step 6: Final answer
    x = 269.16

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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.