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Finding the Fourth Proportional to 358.06, 539.86 and 286.78

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Solution

The fourth proportional to 358.06, 539.86 and 286.78 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 539.86 = 286.78 : x
  2. Step 2: Convert to fraction form
    358.06/539.86 = 286.78/x
  3. Step 3: Cross multiply
    358.06x = 539.86 × 286.78
  4. Step 4: Simplify right side
    358.06x = 154,821.05
  5. Step 5: Solve for x
    x = 154,821.05/358.06
  6. Step 6: Final answer
    x = 432.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.