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Finding the Fourth Proportional to 428.34, 642.75 and 194.07

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Solution

The fourth proportional to 428.34, 642.75 and 194.07 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 642.75 = 194.07 : x
  2. Step 2: Convert to fraction form
    428.34/642.75 = 194.07/x
  3. Step 3: Cross multiply
    428.34x = 642.75 × 194.07
  4. Step 4: Simplify right side
    428.34x = 124,738.49
  5. Step 5: Solve for x
    x = 124,738.49/428.34
  6. Step 6: Final answer
    x = 291.21

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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.