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Finding the Fourth Proportional to 608.34, 839.51 and 346.37

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Solution

The fourth proportional to 608.34, 839.51 and 346.37 is: 477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.34 : 839.51 = 346.37 : x
  2. Step 2: Convert to fraction form
    608.34/839.51 = 346.37/x
  3. Step 3: Cross multiply
    608.34x = 839.51 × 346.37
  4. Step 4: Simplify right side
    608.34x = 290,782.14
  5. Step 5: Solve for x
    x = 290,782.14/608.34
  6. Step 6: Final answer
    x = 477.99

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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.