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Finding the Fourth Proportional to 431.71, 596.33 and 319.91

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Solution

The fourth proportional to 431.71, 596.33 and 319.91 is: 441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.71 : 596.33 = 319.91 : x
  2. Step 2: Convert to fraction form
    431.71/596.33 = 319.91/x
  3. Step 3: Cross multiply
    431.71x = 596.33 × 319.91
  4. Step 4: Simplify right side
    431.71x = 190,768.95
  5. Step 5: Solve for x
    x = 190,768.95/431.71
  6. Step 6: Final answer
    x = 441.89

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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.