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Finding the Fourth Proportional to 389.12, 536.76 and 233.84

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Solution

The fourth proportional to 389.12, 536.76 and 233.84 is: 322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 536.76 = 233.84 : x
  2. Step 2: Convert to fraction form
    389.12/536.76 = 233.84/x
  3. Step 3: Cross multiply
    389.12x = 536.76 × 233.84
  4. Step 4: Simplify right side
    389.12x = 125,515.96
  5. Step 5: Solve for x
    x = 125,515.96/389.12
  6. Step 6: Final answer
    x = 322.56

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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.