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Finding the Fourth Proportional to 428.24, 642.34 and 297.86

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Solution

The fourth proportional to 428.24, 642.34 and 297.86 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 642.34 = 297.86 : x
  2. Step 2: Convert to fraction form
    428.24/642.34 = 297.86/x
  3. Step 3: Cross multiply
    428.24x = 642.34 × 297.86
  4. Step 4: Simplify right side
    428.24x = 191,324.55
  5. Step 5: Solve for x
    x = 191,324.55/428.24
  6. Step 6: Final answer
    x = 446.77

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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.