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Finding the Fourth Proportional to 431.55, 596.43 and 344.07

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Solution

The fourth proportional to 431.55, 596.43 and 344.07 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.55 : 596.43 = 344.07 : x
  2. Step 2: Convert to fraction form
    431.55/596.43 = 344.07/x
  3. Step 3: Cross multiply
    431.55x = 596.43 × 344.07
  4. Step 4: Simplify right side
    431.55x = 205,213.67
  5. Step 5: Solve for x
    x = 205,213.67/431.55
  6. Step 6: Final answer
    x = 475.53

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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.