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Finding the Fourth Proportional to 598.29, 896.62 and 309.93

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Solution

The fourth proportional to 598.29, 896.62 and 309.93 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.29 : 896.62 = 309.93 : x
  2. Step 2: Convert to fraction form
    598.29/896.62 = 309.93/x
  3. Step 3: Cross multiply
    598.29x = 896.62 × 309.93
  4. Step 4: Simplify right side
    598.29x = 277,889.44
  5. Step 5: Solve for x
    x = 277,889.44/598.29
  6. Step 6: Final answer
    x = 464.47

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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.