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Finding the Fourth Proportional to 428.42, 642.15 and 245.43

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Solution

The fourth proportional to 428.42, 642.15 and 245.43 is: 367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.42 : 642.15 = 245.43 : x
  2. Step 2: Convert to fraction form
    428.42/642.15 = 245.43/x
  3. Step 3: Cross multiply
    428.42x = 642.15 × 245.43
  4. Step 4: Simplify right side
    428.42x = 157,602.87
  5. Step 5: Solve for x
    x = 157,602.87/428.42
  6. Step 6: Final answer
    x = 367.87

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Why These Related Problems?

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