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Finding the Fourth Proportional to 428.54, 591.21 and 310.55

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Solution

The fourth proportional to 428.54, 591.21 and 310.55 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 591.21 = 310.55 : x
  2. Step 2: Convert to fraction form
    428.54/591.21 = 310.55/x
  3. Step 3: Cross multiply
    428.54x = 591.21 × 310.55
  4. Step 4: Simplify right side
    428.54x = 183,597.31
  5. Step 5: Solve for x
    x = 183,597.31/428.54
  6. Step 6: Final answer
    x = 428.43

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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.