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Finding the Fourth Proportional to 407.83, 563.15 and 341.41

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Solution

The fourth proportional to 407.83, 563.15 and 341.41 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 563.15 = 341.41 : x
  2. Step 2: Convert to fraction form
    407.83/563.15 = 341.41/x
  3. Step 3: Cross multiply
    407.83x = 563.15 × 341.41
  4. Step 4: Simplify right side
    407.83x = 192,265.04
  5. Step 5: Solve for x
    x = 192,265.04/407.83
  6. Step 6: Final answer
    x = 471.43

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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.