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Finding the Fourth Proportional to 383.14, 574.30 and 362.89

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Solution

The fourth proportional to 383.14, 574.30 and 362.89 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.14 : 574.30 = 362.89 : x
  2. Step 2: Convert to fraction form
    383.14/574.30 = 362.89/x
  3. Step 3: Cross multiply
    383.14x = 574.30 × 362.89
  4. Step 4: Simplify right side
    383.14x = 208,407.73
  5. Step 5: Solve for x
    x = 208,407.73/383.14
  6. Step 6: Final answer
    x = 543.95

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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.