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Finding the Fourth Proportional to 608.10, 839.17 and 346.20

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Solution

The fourth proportional to 608.10, 839.17 and 346.20 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.10 : 839.17 = 346.20 : x
  2. Step 2: Convert to fraction form
    608.10/839.17 = 346.20/x
  3. Step 3: Cross multiply
    608.10x = 839.17 × 346.20
  4. Step 4: Simplify right side
    608.10x = 290,520.65
  5. Step 5: Solve for x
    x = 290,520.65/608.10
  6. Step 6: Final answer
    x = 477.75

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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.