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Finding the Fourth Proportional to 428.49, 642.02 and 274.77

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Solution

The fourth proportional to 428.49, 642.02 and 274.77 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 642.02 = 274.77 : x
  2. Step 2: Convert to fraction form
    428.49/642.02 = 274.77/x
  3. Step 3: Cross multiply
    428.49x = 642.02 × 274.77
  4. Step 4: Simplify right side
    428.49x = 176,406.46
  5. Step 5: Solve for x
    x = 176,406.46/428.49
  6. Step 6: Final answer
    x = 411.69

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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.