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Finding the Fourth Proportional to 608.02, 838.97 and 346.04

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Solution

The fourth proportional to 608.02, 838.97 and 346.04 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.02 : 838.97 = 346.04 : x
  2. Step 2: Convert to fraction form
    608.02/838.97 = 346.04/x
  3. Step 3: Cross multiply
    608.02x = 838.97 × 346.04
  4. Step 4: Simplify right side
    608.02x = 290,317.18
  5. Step 5: Solve for x
    x = 290,317.18/608.02
  6. Step 6: Final answer
    x = 477.48

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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.