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Finding the Fourth Proportional to 598.67, 896.72 and 324.18

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Solution

The fourth proportional to 598.67, 896.72 and 324.18 is: 485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 896.72 = 324.18 : x
  2. Step 2: Convert to fraction form
    598.67/896.72 = 324.18/x
  3. Step 3: Cross multiply
    598.67x = 896.72 × 324.18
  4. Step 4: Simplify right side
    598.67x = 290,698.75
  5. Step 5: Solve for x
    x = 290,698.75/598.67
  6. Step 6: Final answer
    x = 485.57

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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.