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Finding the Fourth Proportional to 419.10, 577.83 and 308.22

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Solution

The fourth proportional to 419.10, 577.83 and 308.22 is: 424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 577.83 = 308.22 : x
  2. Step 2: Convert to fraction form
    419.10/577.83 = 308.22/x
  3. Step 3: Cross multiply
    419.10x = 577.83 × 308.22
  4. Step 4: Simplify right side
    419.10x = 178,098.76
  5. Step 5: Solve for x
    x = 178,098.76/419.10
  6. Step 6: Final answer
    x = 424.96

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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.