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Finding the Fourth Proportional to 608.39, 839.58 and 346.41

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Solution

The fourth proportional to 608.39, 839.58 and 346.41 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.39 : 839.58 = 346.41 : x
  2. Step 2: Convert to fraction form
    608.39/839.58 = 346.41/x
  3. Step 3: Cross multiply
    608.39x = 839.58 × 346.41
  4. Step 4: Simplify right side
    608.39x = 290,835.76
  5. Step 5: Solve for x
    x = 290,835.76/608.39
  6. Step 6: Final answer
    x = 478.04

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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.