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Finding the Fourth Proportional to 434.91, 599.16 and 324.18

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Solution

The fourth proportional to 434.91, 599.16 and 324.18 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.91 : 599.16 = 324.18 : x
  2. Step 2: Convert to fraction form
    434.91/599.16 = 324.18/x
  3. Step 3: Cross multiply
    434.91x = 599.16 × 324.18
  4. Step 4: Simplify right side
    434.91x = 194,235.69
  5. Step 5: Solve for x
    x = 194,235.69/434.91
  6. Step 6: Final answer
    x = 446.61

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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.