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Finding the Fourth Proportional to 383.61, 575.64 and 201

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Solution

The fourth proportional to 383.61, 575.64 and 201 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 575.64 = 201 : x
  2. Step 2: Convert to fraction form
    383.61/575.64 = 201/x
  3. Step 3: Cross multiply
    383.61x = 575.64 × 201
  4. Step 4: Simplify right side
    383.61x = 115,703.64
  5. Step 5: Solve for x
    x = 115,703.64/383.61
  6. Step 6: Final answer
    x = 301.62

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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.