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Finding the Fourth Proportional to 409.29, 563.01 and 342.87

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Solution

The fourth proportional to 409.29, 563.01 and 342.87 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 563.01 = 342.87 : x
  2. Step 2: Convert to fraction form
    409.29/563.01 = 342.87/x
  3. Step 3: Cross multiply
    409.29x = 563.01 × 342.87
  4. Step 4: Simplify right side
    409.29x = 193,039.24
  5. Step 5: Solve for x
    x = 193,039.24/409.29
  6. Step 6: Final answer
    x = 471.64

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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.