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Finding the Fourth Proportional to 428.18, 637.38 and 408.30

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Solution

The fourth proportional to 428.18, 637.38 and 408.30 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 637.38 = 408.30 : x
  2. Step 2: Convert to fraction form
    428.18/637.38 = 408.30/x
  3. Step 3: Cross multiply
    428.18x = 637.38 × 408.30
  4. Step 4: Simplify right side
    428.18x = 260,242.25
  5. Step 5: Solve for x
    x = 260,242.25/428.18
  6. Step 6: Final answer
    x = 607.79

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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.