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Finding the Fourth Proportional to 355.20, 489.84 and 207.84

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Solution

The fourth proportional to 355.20, 489.84 and 207.84 is: 286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 489.84 = 207.84 : x
  2. Step 2: Convert to fraction form
    355.20/489.84 = 207.84/x
  3. Step 3: Cross multiply
    355.20x = 489.84 × 207.84
  4. Step 4: Simplify right side
    355.20x = 101,808.35
  5. Step 5: Solve for x
    x = 101,808.35/355.20
  6. Step 6: Final answer
    x = 286.62

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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.