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Finding the Fourth Proportional to 608.19, 839.37 and 346.24

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Solution

The fourth proportional to 608.19, 839.37 and 346.24 is: 477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.19 : 839.37 = 346.24 : x
  2. Step 2: Convert to fraction form
    608.19/839.37 = 346.24/x
  3. Step 3: Cross multiply
    608.19x = 839.37 × 346.24
  4. Step 4: Simplify right side
    608.19x = 290,623.87
  5. Step 5: Solve for x
    x = 290,623.87/608.19
  6. Step 6: Final answer
    x = 477.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.