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Finding the Fourth Proportional to 409.46, 561.57 and 392.70

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Solution

The fourth proportional to 409.46, 561.57 and 392.70 is: 538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 561.57 = 392.70 : x
  2. Step 2: Convert to fraction form
    409.46/561.57 = 392.70/x
  3. Step 3: Cross multiply
    409.46x = 561.57 × 392.70
  4. Step 4: Simplify right side
    409.46x = 220,528.54
  5. Step 5: Solve for x
    x = 220,528.54/409.46
  6. Step 6: Final answer
    x = 538.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.