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Finding the Fourth Proportional to 409.64, 565.24 and 232.57

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Solution

The fourth proportional to 409.64, 565.24 and 232.57 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 565.24 = 232.57 : x
  2. Step 2: Convert to fraction form
    409.64/565.24 = 232.57/x
  3. Step 3: Cross multiply
    409.64x = 565.24 × 232.57
  4. Step 4: Simplify right side
    409.64x = 131,455.68
  5. Step 5: Solve for x
    x = 131,455.68/409.64
  6. Step 6: Final answer
    x = 320.91

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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.