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Finding the Fourth Proportional to 612.11, 917.96 and 338.33

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Solution

The fourth proportional to 612.11, 917.96 and 338.33 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.11 : 917.96 = 338.33 : x
  2. Step 2: Convert to fraction form
    612.11/917.96 = 338.33/x
  3. Step 3: Cross multiply
    612.11x = 917.96 × 338.33
  4. Step 4: Simplify right side
    612.11x = 310,567.13
  5. Step 5: Solve for x
    x = 310,567.13/612.11
  6. Step 6: Final answer
    x = 507.38

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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.