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Finding the Fourth Proportional to 428.35, 639.16 and 402.23

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Solution

The fourth proportional to 428.35, 639.16 and 402.23 is: 600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.35 : 639.16 = 402.23 : x
  2. Step 2: Convert to fraction form
    428.35/639.16 = 402.23/x
  3. Step 3: Cross multiply
    428.35x = 639.16 × 402.23
  4. Step 4: Simplify right side
    428.35x = 257,087.73
  5. Step 5: Solve for x
    x = 257,087.73/428.35
  6. Step 6: Final answer
    x = 600.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.