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Finding the Fourth Proportional to 428.94, 592.28 and 319.59

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Solution

The fourth proportional to 428.94, 592.28 and 319.59 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.94 : 592.28 = 319.59 : x
  2. Step 2: Convert to fraction form
    428.94/592.28 = 319.59/x
  3. Step 3: Cross multiply
    428.94x = 592.28 × 319.59
  4. Step 4: Simplify right side
    428.94x = 189,286.77
  5. Step 5: Solve for x
    x = 189,286.77/428.94
  6. Step 6: Final answer
    x = 441.29

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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.