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Finding the Fourth Proportional to 598.90, 825.96 and 389

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Solution

The fourth proportional to 598.90, 825.96 and 389 is: 536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 825.96 = 389 : x
  2. Step 2: Convert to fraction form
    598.90/825.96 = 389/x
  3. Step 3: Cross multiply
    598.90x = 825.96 × 389
  4. Step 4: Simplify right side
    598.90x = 321,298.44
  5. Step 5: Solve for x
    x = 321,298.44/598.90
  6. Step 6: Final answer
    x = 536.48

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