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Finding the Fourth Proportional to 390.70, 539.19 and 216.07

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Solution

The fourth proportional to 390.70, 539.19 and 216.07 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.70 : 539.19 = 216.07 : x
  2. Step 2: Convert to fraction form
    390.70/539.19 = 216.07/x
  3. Step 3: Cross multiply
    390.70x = 539.19 × 216.07
  4. Step 4: Simplify right side
    390.70x = 116,500.09
  5. Step 5: Solve for x
    x = 116,500.09/390.70
  6. Step 6: Final answer
    x = 298.19

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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.