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Finding the Fourth Proportional to 404.02, 557.61 and 229.36

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Solution

The fourth proportional to 404.02, 557.61 and 229.36 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 557.61 = 229.36 : x
  2. Step 2: Convert to fraction form
    404.02/557.61 = 229.36/x
  3. Step 3: Cross multiply
    404.02x = 557.61 × 229.36
  4. Step 4: Simplify right side
    404.02x = 127,893.43
  5. Step 5: Solve for x
    x = 127,893.43/404.02
  6. Step 6: Final answer
    x = 316.55

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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.