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Finding the Fourth Proportional to 597.96, 896.94 and 309.42

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Solution

The fourth proportional to 597.96, 896.94 and 309.42 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 896.94 = 309.42 : x
  2. Step 2: Convert to fraction form
    597.96/896.94 = 309.42/x
  3. Step 3: Cross multiply
    597.96x = 896.94 × 309.42
  4. Step 4: Simplify right side
    597.96x = 277,531.17
  5. Step 5: Solve for x
    x = 277,531.17/597.96
  6. Step 6: Final answer
    x = 464.13

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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.