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Finding the Fourth Proportional to 434.75, 599.04 and 324.09

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Solution

The fourth proportional to 434.75, 599.04 and 324.09 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 599.04 = 324.09 : x
  2. Step 2: Convert to fraction form
    434.75/599.04 = 324.09/x
  3. Step 3: Cross multiply
    434.75x = 599.04 × 324.09
  4. Step 4: Simplify right side
    434.75x = 194,142.87
  5. Step 5: Solve for x
    x = 194,142.87/434.75
  6. Step 6: Final answer
    x = 446.57

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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.