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Finding the Fourth Proportional to 419.99, 579.42 and 289.10

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Solution

The fourth proportional to 419.99, 579.42 and 289.10 is: 398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 579.42 = 289.10 : x
  2. Step 2: Convert to fraction form
    419.99/579.42 = 289.10/x
  3. Step 3: Cross multiply
    419.99x = 579.42 × 289.10
  4. Step 4: Simplify right side
    419.99x = 167,511.77
  5. Step 5: Solve for x
    x = 167,511.77/419.99
  6. Step 6: Final answer
    x = 398.85

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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.