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Finding the Fourth Proportional to 428.99, 592.14 and 371.96

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Solution

The fourth proportional to 428.99, 592.14 and 371.96 is: 513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 592.14 = 371.96 : x
  2. Step 2: Convert to fraction form
    428.99/592.14 = 371.96/x
  3. Step 3: Cross multiply
    428.99x = 592.14 × 371.96
  4. Step 4: Simplify right side
    428.99x = 220,252.39
  5. Step 5: Solve for x
    x = 220,252.39/428.99
  6. Step 6: Final answer
    x = 513.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.