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Finding the Fourth Proportional to 409.10, 564.58 and 232.06

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Solution

The fourth proportional to 409.10, 564.58 and 232.06 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 564.58 = 232.06 : x
  2. Step 2: Convert to fraction form
    409.10/564.58 = 232.06/x
  3. Step 3: Cross multiply
    409.10x = 564.58 × 232.06
  4. Step 4: Simplify right side
    409.10x = 131,016.43
  5. Step 5: Solve for x
    x = 131,016.43/409.10
  6. Step 6: Final answer
    x = 320.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.