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Finding the Fourth Proportional to 428.41, 642.61 and 103.77

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Solution

The fourth proportional to 428.41, 642.61 and 103.77 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.41 : 642.61 = 103.77 : x
  2. Step 2: Convert to fraction form
    428.41/642.61 = 103.77/x
  3. Step 3: Cross multiply
    428.41x = 642.61 × 103.77
  4. Step 4: Simplify right side
    428.41x = 66,683.64
  5. Step 5: Solve for x
    x = 66,683.64/428.41
  6. Step 6: Final answer
    x = 155.66

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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.