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Finding the Fourth Proportional to 428.55, 643.41 and 421.26

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Solution

The fourth proportional to 428.55, 643.41 and 421.26 is: 632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.55 : 643.41 = 421.26 : x
  2. Step 2: Convert to fraction form
    428.55/643.41 = 421.26/x
  3. Step 3: Cross multiply
    428.55x = 643.41 × 421.26
  4. Step 4: Simplify right side
    428.55x = 271,042.90
  5. Step 5: Solve for x
    x = 271,042.90/428.55
  6. Step 6: Final answer
    x = 632.47

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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.