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Finding the Fourth Proportional to 428.16, 642.24 and 420.96

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Solution

The fourth proportional to 428.16, 642.24 and 420.96 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.16 : 642.24 = 420.96 : x
  2. Step 2: Convert to fraction form
    428.16/642.24 = 420.96/x
  3. Step 3: Cross multiply
    428.16x = 642.24 × 420.96
  4. Step 4: Simplify right side
    428.16x = 270,357.35
  5. Step 5: Solve for x
    x = 270,357.35/428.16
  6. Step 6: Final answer
    x = 631.44

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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.