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Finding the Fourth Proportional to 682.06, 941.43 and 433.66

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Solution

The fourth proportional to 682.06, 941.43 and 433.66 is: 598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 941.43 = 433.66 : x
  2. Step 2: Convert to fraction form
    682.06/941.43 = 433.66/x
  3. Step 3: Cross multiply
    682.06x = 941.43 × 433.66
  4. Step 4: Simplify right side
    682.06x = 408,260.53
  5. Step 5: Solve for x
    x = 408,260.53/682.06
  6. Step 6: Final answer
    x = 598.57

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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.