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Finding the Fourth Proportional to 608.40, 839.61 and 346.41

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Solution

The fourth proportional to 608.40, 839.61 and 346.41 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 839.61 = 346.41 : x
  2. Step 2: Convert to fraction form
    608.40/839.61 = 346.41/x
  3. Step 3: Cross multiply
    608.40x = 839.61 × 346.41
  4. Step 4: Simplify right side
    608.40x = 290,849.30
  5. Step 5: Solve for x
    x = 290,849.30/608.40
  6. Step 6: Final answer
    x = 478.06

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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.