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Finding the Fourth Proportional to 428.09, 642.08 and 139.50

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Solution

The fourth proportional to 428.09, 642.08 and 139.50 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 642.08 = 139.50 : x
  2. Step 2: Convert to fraction form
    428.09/642.08 = 139.50/x
  3. Step 3: Cross multiply
    428.09x = 642.08 × 139.50
  4. Step 4: Simplify right side
    428.09x = 89,569.46
  5. Step 5: Solve for x
    x = 89,569.46/428.09
  6. Step 6: Final answer
    x = 209.23

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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.