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Finding the Fourth Proportional to 404.81, 557.69 and 380.59

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Solution

The fourth proportional to 404.81, 557.69 and 380.59 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.81 : 557.69 = 380.59 : x
  2. Step 2: Convert to fraction form
    404.81/557.69 = 380.59/x
  3. Step 3: Cross multiply
    404.81x = 557.69 × 380.59
  4. Step 4: Simplify right side
    404.81x = 212,251.24
  5. Step 5: Solve for x
    x = 212,251.24/404.81
  6. Step 6: Final answer
    x = 524.32

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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.