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Finding the Fourth Proportional to 383.90, 575.64 and 246.62

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Solution

The fourth proportional to 383.90, 575.64 and 246.62 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.90 : 575.64 = 246.62 : x
  2. Step 2: Convert to fraction form
    383.90/575.64 = 246.62/x
  3. Step 3: Cross multiply
    383.90x = 575.64 × 246.62
  4. Step 4: Simplify right side
    383.90x = 141,964.34
  5. Step 5: Solve for x
    x = 141,964.34/383.90
  6. Step 6: Final answer
    x = 369.80

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Why These Related Problems?

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