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Finding the Fourth Proportional to 364.84, 547.14 and 202.60

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Solution

The fourth proportional to 364.84, 547.14 and 202.60 is: 303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.84 : 547.14 = 202.60 : x
  2. Step 2: Convert to fraction form
    364.84/547.14 = 202.60/x
  3. Step 3: Cross multiply
    364.84x = 547.14 × 202.60
  4. Step 4: Simplify right side
    364.84x = 110,850.56
  5. Step 5: Solve for x
    x = 110,850.56/364.84
  6. Step 6: Final answer
    x = 303.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.