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Finding the Fourth Proportional to 596.86, 894.15 and 466.25

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Solution

The fourth proportional to 596.86, 894.15 and 466.25 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.86 : 894.15 = 466.25 : x
  2. Step 2: Convert to fraction form
    596.86/894.15 = 466.25/x
  3. Step 3: Cross multiply
    596.86x = 894.15 × 466.25
  4. Step 4: Simplify right side
    596.86x = 416,892.97
  5. Step 5: Solve for x
    x = 416,892.97/596.86
  6. Step 6: Final answer
    x = 698.48

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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.