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Finding the Fourth Proportional to 608.45, 839.64 and 346.47

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Solution

The fourth proportional to 608.45, 839.64 and 346.47 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.45 : 839.64 = 346.47 : x
  2. Step 2: Convert to fraction form
    608.45/839.64 = 346.47/x
  3. Step 3: Cross multiply
    608.45x = 839.64 × 346.47
  4. Step 4: Simplify right side
    608.45x = 290,910.07
  5. Step 5: Solve for x
    x = 290,910.07/608.45
  6. Step 6: Final answer
    x = 478.12

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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.