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Finding the Fourth Proportional to 383.55, 532.01 and 369.71

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Solution

The fourth proportional to 383.55, 532.01 and 369.71 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.55 : 532.01 = 369.71 : x
  2. Step 2: Convert to fraction form
    383.55/532.01 = 369.71/x
  3. Step 3: Cross multiply
    383.55x = 532.01 × 369.71
  4. Step 4: Simplify right side
    383.55x = 196,690.98
  5. Step 5: Solve for x
    x = 196,690.98/383.55
  6. Step 6: Final answer
    x = 512.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.