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Finding the Fourth Proportional to 428.84, 644.69 and 352.37

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Solution

The fourth proportional to 428.84, 644.69 and 352.37 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.84 : 644.69 = 352.37 : x
  2. Step 2: Convert to fraction form
    428.84/644.69 = 352.37/x
  3. Step 3: Cross multiply
    428.84x = 644.69 × 352.37
  4. Step 4: Simplify right side
    428.84x = 227,171.91
  5. Step 5: Solve for x
    x = 227,171.91/428.84
  6. Step 6: Final answer
    x = 529.74

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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.