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Finding the Fourth Proportional to 428.94, 592.08 and 288.96

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Solution

The fourth proportional to 428.94, 592.08 and 288.96 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.94 : 592.08 = 288.96 : x
  2. Step 2: Convert to fraction form
    428.94/592.08 = 288.96/x
  3. Step 3: Cross multiply
    428.94x = 592.08 × 288.96
  4. Step 4: Simplify right side
    428.94x = 171,087.44
  5. Step 5: Solve for x
    x = 171,087.44/428.94
  6. Step 6: Final answer
    x = 398.86

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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.