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Finding the Fourth Proportional to 435.36, 601.38 and 319.62

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Solution

The fourth proportional to 435.36, 601.38 and 319.62 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 601.38 = 319.62 : x
  2. Step 2: Convert to fraction form
    435.36/601.38 = 319.62/x
  3. Step 3: Cross multiply
    435.36x = 601.38 × 319.62
  4. Step 4: Simplify right side
    435.36x = 192,213.08
  5. Step 5: Solve for x
    x = 192,213.08/435.36
  6. Step 6: Final answer
    x = 441.50

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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.