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Finding the Fourth Proportional to 412.05, 618.19 and 339.26

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Solution

The fourth proportional to 412.05, 618.19 and 339.26 is: 508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 618.19 = 339.26 : x
  2. Step 2: Convert to fraction form
    412.05/618.19 = 339.26/x
  3. Step 3: Cross multiply
    412.05x = 618.19 × 339.26
  4. Step 4: Simplify right side
    412.05x = 209,727.14
  5. Step 5: Solve for x
    x = 209,727.14/412.05
  6. Step 6: Final answer
    x = 508.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.