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Finding the Fourth Proportional to 608.21, 839.32 and 346.22

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Solution

The fourth proportional to 608.21, 839.32 and 346.22 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.21 : 839.32 = 346.22 : x
  2. Step 2: Convert to fraction form
    608.21/839.32 = 346.22/x
  3. Step 3: Cross multiply
    608.21x = 839.32 × 346.22
  4. Step 4: Simplify right side
    608.21x = 290,587.46
  5. Step 5: Solve for x
    x = 290,587.46/608.21
  6. Step 6: Final answer
    x = 477.78

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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.