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Finding the Fourth Proportional to 390.72, 539.04 and 233.36

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Solution

The fourth proportional to 390.72, 539.04 and 233.36 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.72 : 539.04 = 233.36 : x
  2. Step 2: Convert to fraction form
    390.72/539.04 = 233.36/x
  3. Step 3: Cross multiply
    390.72x = 539.04 × 233.36
  4. Step 4: Simplify right side
    390.72x = 125,790.37
  5. Step 5: Solve for x
    x = 125,790.37/390.72
  6. Step 6: Final answer
    x = 321.95

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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.