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Finding the Fourth Proportional to 384.21, 575.78 and 254.00

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Solution

The fourth proportional to 384.21, 575.78 and 254.00 is: 380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 575.78 = 254.00 : x
  2. Step 2: Convert to fraction form
    384.21/575.78 = 254.00/x
  3. Step 3: Cross multiply
    384.21x = 575.78 × 254.00
  4. Step 4: Simplify right side
    384.21x = 146,243.97
  5. Step 5: Solve for x
    x = 146,243.97/384.21
  6. Step 6: Final answer
    x = 380.64

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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.