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Finding the Fourth Proportional to 434.15, 599.16 and 323.38

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Solution

The fourth proportional to 434.15, 599.16 and 323.38 is: 446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.15 : 599.16 = 323.38 : x
  2. Step 2: Convert to fraction form
    434.15/599.16 = 323.38/x
  3. Step 3: Cross multiply
    434.15x = 599.16 × 323.38
  4. Step 4: Simplify right side
    434.15x = 193,756.36
  5. Step 5: Solve for x
    x = 193,756.36/434.15
  6. Step 6: Final answer
    x = 446.29

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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.