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Finding the Fourth Proportional to 403.96, 557.30 and 299.30

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Solution

The fourth proportional to 403.96, 557.30 and 299.30 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.96 : 557.30 = 299.30 : x
  2. Step 2: Convert to fraction form
    403.96/557.30 = 299.30/x
  3. Step 3: Cross multiply
    403.96x = 557.30 × 299.30
  4. Step 4: Simplify right side
    403.96x = 166,799.89
  5. Step 5: Solve for x
    x = 166,799.89/403.96
  6. Step 6: Final answer
    x = 412.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.