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Finding the Fourth Proportional to 431.91, 596.19 and 333.50

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Solution

The fourth proportional to 431.91, 596.19 and 333.50 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 596.19 = 333.50 : x
  2. Step 2: Convert to fraction form
    431.91/596.19 = 333.50/x
  3. Step 3: Cross multiply
    431.91x = 596.19 × 333.50
  4. Step 4: Simplify right side
    431.91x = 198,826.38
  5. Step 5: Solve for x
    x = 198,826.38/431.91
  6. Step 6: Final answer
    x = 460.34

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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.