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Finding the Fourth Proportional to 428.90, 643.12 and 274.75

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Solution

The fourth proportional to 428.90, 643.12 and 274.75 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 643.12 = 274.75 : x
  2. Step 2: Convert to fraction form
    428.90/643.12 = 274.75/x
  3. Step 3: Cross multiply
    428.90x = 643.12 × 274.75
  4. Step 4: Simplify right side
    428.90x = 176,697.22
  5. Step 5: Solve for x
    x = 176,697.22/428.90
  6. Step 6: Final answer
    x = 411.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.