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Finding the Fourth Proportional to 390.24, 585.36 and 326.52

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Solution

The fourth proportional to 390.24, 585.36 and 326.52 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 585.36 = 326.52 : x
  2. Step 2: Convert to fraction form
    390.24/585.36 = 326.52/x
  3. Step 3: Cross multiply
    390.24x = 585.36 × 326.52
  4. Step 4: Simplify right side
    390.24x = 191,131.75
  5. Step 5: Solve for x
    x = 191,131.75/390.24
  6. Step 6: Final answer
    x = 489.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.