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Finding the Fourth Proportional to 598.11, 896.91 and 324.15

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Solution

The fourth proportional to 598.11, 896.91 and 324.15 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.11 : 896.91 = 324.15 : x
  2. Step 2: Convert to fraction form
    598.11/896.91 = 324.15/x
  3. Step 3: Cross multiply
    598.11x = 896.91 × 324.15
  4. Step 4: Simplify right side
    598.11x = 290,733.38
  5. Step 5: Solve for x
    x = 290,733.38/598.11
  6. Step 6: Final answer
    x = 486.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.