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Finding the Fourth Proportional to 428.12, 642.16 and 297.74

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Solution

The fourth proportional to 428.12, 642.16 and 297.74 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 642.16 = 297.74 : x
  2. Step 2: Convert to fraction form
    428.12/642.16 = 297.74/x
  3. Step 3: Cross multiply
    428.12x = 642.16 × 297.74
  4. Step 4: Simplify right side
    428.12x = 191,198.70
  5. Step 5: Solve for x
    x = 191,198.70/428.12
  6. Step 6: Final answer
    x = 446.60

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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.