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Finding the Fourth Proportional to 597.62, 894.81 and 308.45

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Solution

The fourth proportional to 597.62, 894.81 and 308.45 is: 461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 894.81 = 308.45 : x
  2. Step 2: Convert to fraction form
    597.62/894.81 = 308.45/x
  3. Step 3: Cross multiply
    597.62x = 894.81 × 308.45
  4. Step 4: Simplify right side
    597.62x = 276,007.15
  5. Step 5: Solve for x
    x = 276,007.15/597.62
  6. Step 6: Final answer
    x = 461.84

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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.