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Finding the Fourth Proportional to 384.63, 531.06 and 311.28

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Solution

The fourth proportional to 384.63, 531.06 and 311.28 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.63 : 531.06 = 311.28 : x
  2. Step 2: Convert to fraction form
    384.63/531.06 = 311.28/x
  3. Step 3: Cross multiply
    384.63x = 531.06 × 311.28
  4. Step 4: Simplify right side
    384.63x = 165,308.36
  5. Step 5: Solve for x
    x = 165,308.36/384.63
  6. Step 6: Final answer
    x = 429.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.