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Finding the Fourth Proportional to 598.10, 896.84 and 273.19

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Solution

The fourth proportional to 598.10, 896.84 and 273.19 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 896.84 = 273.19 : x
  2. Step 2: Convert to fraction form
    598.10/896.84 = 273.19/x
  3. Step 3: Cross multiply
    598.10x = 896.84 × 273.19
  4. Step 4: Simplify right side
    598.10x = 245,006.16
  5. Step 5: Solve for x
    x = 245,006.16/598.10
  6. Step 6: Final answer
    x = 409.64

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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.