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Finding the Fourth Proportional to 409.29, 563.94 and 278.07

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Solution

The fourth proportional to 409.29, 563.94 and 278.07 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 563.94 = 278.07 : x
  2. Step 2: Convert to fraction form
    409.29/563.94 = 278.07/x
  3. Step 3: Cross multiply
    409.29x = 563.94 × 278.07
  4. Step 4: Simplify right side
    409.29x = 156,814.80
  5. Step 5: Solve for x
    x = 156,814.80/409.29
  6. Step 6: Final answer
    x = 383.14

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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.