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Finding the Fourth Proportional to 403.97, 557.11 and 341.96

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Solution

The fourth proportional to 403.97, 557.11 and 341.96 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 557.11 = 341.96 : x
  2. Step 2: Convert to fraction form
    403.97/557.11 = 341.96/x
  3. Step 3: Cross multiply
    403.97x = 557.11 × 341.96
  4. Step 4: Simplify right side
    403.97x = 190,509.34
  5. Step 5: Solve for x
    x = 190,509.34/403.97
  6. Step 6: Final answer
    x = 471.59

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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.