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Finding the Fourth Proportional to 608.46, 839.76 and 346.50

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Solution

The fourth proportional to 608.46, 839.76 and 346.50 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 839.76 = 346.50 : x
  2. Step 2: Convert to fraction form
    608.46/839.76 = 346.50/x
  3. Step 3: Cross multiply
    608.46x = 839.76 × 346.50
  4. Step 4: Simplify right side
    608.46x = 290,976.84
  5. Step 5: Solve for x
    x = 290,976.84/608.46
  6. Step 6: Final answer
    x = 478.22

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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.