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Finding the Fourth Proportional to 378.68, 566.99 and 320.58

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Solution

The fourth proportional to 378.68, 566.99 and 320.58 is: 480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 566.99 = 320.58 : x
  2. Step 2: Convert to fraction form
    378.68/566.99 = 320.58/x
  3. Step 3: Cross multiply
    378.68x = 566.99 × 320.58
  4. Step 4: Simplify right side
    378.68x = 181,764.05
  5. Step 5: Solve for x
    x = 181,764.05/378.68
  6. Step 6: Final answer
    x = 480.00

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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.