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Finding the Fourth Proportional to 353.95, 488.43 and 206.59

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Solution

The fourth proportional to 353.95, 488.43 and 206.59 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 488.43 = 206.59 : x
  2. Step 2: Convert to fraction form
    353.95/488.43 = 206.59/x
  3. Step 3: Cross multiply
    353.95x = 488.43 × 206.59
  4. Step 4: Simplify right side
    353.95x = 100,904.75
  5. Step 5: Solve for x
    x = 100,904.75/353.95
  6. Step 6: Final answer
    x = 285.08

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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.