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Finding the Fourth Proportional to 598.06, 825.03 and 364.78

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Solution

The fourth proportional to 598.06, 825.03 and 364.78 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 825.03 = 364.78 : x
  2. Step 2: Convert to fraction form
    598.06/825.03 = 364.78/x
  3. Step 3: Cross multiply
    598.06x = 825.03 × 364.78
  4. Step 4: Simplify right side
    598.06x = 300,954.44
  5. Step 5: Solve for x
    x = 300,954.44/598.06
  6. Step 6: Final answer
    x = 503.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.