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Finding the Fourth Proportional to 384.54, 575.78 and 201.55

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Solution

The fourth proportional to 384.54, 575.78 and 201.55 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 575.78 = 201.55 : x
  2. Step 2: Convert to fraction form
    384.54/575.78 = 201.55/x
  3. Step 3: Cross multiply
    384.54x = 575.78 × 201.55
  4. Step 4: Simplify right side
    384.54x = 116,047.02
  5. Step 5: Solve for x
    x = 116,047.02/384.54
  6. Step 6: Final answer
    x = 301.78

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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.