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Finding the Fourth Proportional to 431.80, 596.66 and 319.61

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Solution

The fourth proportional to 431.80, 596.66 and 319.61 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 596.66 = 319.61 : x
  2. Step 2: Convert to fraction form
    431.80/596.66 = 319.61/x
  3. Step 3: Cross multiply
    431.80x = 596.66 × 319.61
  4. Step 4: Simplify right side
    431.80x = 190,698.40
  5. Step 5: Solve for x
    x = 190,698.40/431.80
  6. Step 6: Final answer
    x = 441.64

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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.