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Finding the Fourth Proportional to 390.94, 540.26 and 320.88

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Solution

The fourth proportional to 390.94, 540.26 and 320.88 is: 443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.94 : 540.26 = 320.88 : x
  2. Step 2: Convert to fraction form
    390.94/540.26 = 320.88/x
  3. Step 3: Cross multiply
    390.94x = 540.26 × 320.88
  4. Step 4: Simplify right side
    390.94x = 173,360.25
  5. Step 5: Solve for x
    x = 173,360.25/390.94
  6. Step 6: Final answer
    x = 443.45

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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.