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Finding the Fourth Proportional to 428.52, 645.11 and 292.43

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Solution

The fourth proportional to 428.52, 645.11 and 292.43 is: 440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.52 : 645.11 = 292.43 : x
  2. Step 2: Convert to fraction form
    428.52/645.11 = 292.43/x
  3. Step 3: Cross multiply
    428.52x = 645.11 × 292.43
  4. Step 4: Simplify right side
    428.52x = 188,646.29
  5. Step 5: Solve for x
    x = 188,646.29/428.52
  6. Step 6: Final answer
    x = 440.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.