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Finding the Fourth Proportional to 419.48, 578.04 and 346.31

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Solution

The fourth proportional to 419.48, 578.04 and 346.31 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.04 = 346.31 : x
  2. Step 2: Convert to fraction form
    419.48/578.04 = 346.31/x
  3. Step 3: Cross multiply
    419.48x = 578.04 × 346.31
  4. Step 4: Simplify right side
    419.48x = 200,181.03
  5. Step 5: Solve for x
    x = 200,181.03/419.48
  6. Step 6: Final answer
    x = 477.21

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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.