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Finding the Fourth Proportional to 596.74, 894.63 and 254.98

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Solution

The fourth proportional to 596.74, 894.63 and 254.98 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 894.63 = 254.98 : x
  2. Step 2: Convert to fraction form
    596.74/894.63 = 254.98/x
  3. Step 3: Cross multiply
    596.74x = 894.63 × 254.98
  4. Step 4: Simplify right side
    596.74x = 228,112.76
  5. Step 5: Solve for x
    x = 228,112.76/596.74
  6. Step 6: Final answer
    x = 382.26

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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.