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Finding the Fourth Proportional to 608.18, 838.41 and 433.22

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Solution

The fourth proportional to 608.18, 838.41 and 433.22 is: 597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.18 : 838.41 = 433.22 : x
  2. Step 2: Convert to fraction form
    608.18/838.41 = 433.22/x
  3. Step 3: Cross multiply
    608.18x = 838.41 × 433.22
  4. Step 4: Simplify right side
    608.18x = 363,215.98
  5. Step 5: Solve for x
    x = 363,215.98/608.18
  6. Step 6: Final answer
    x = 597.22

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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.