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Finding the Fourth Proportional to 428.61, 642.92 and 274.61

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Solution

The fourth proportional to 428.61, 642.92 and 274.61 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.61 : 642.92 = 274.61 : x
  2. Step 2: Convert to fraction form
    428.61/642.92 = 274.61/x
  3. Step 3: Cross multiply
    428.61x = 642.92 × 274.61
  4. Step 4: Simplify right side
    428.61x = 176,549.28
  5. Step 5: Solve for x
    x = 176,549.28/428.61
  6. Step 6: Final answer
    x = 411.91

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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.