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Finding the Fourth Proportional to 428.72, 591.92 and 312.56

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Solution

The fourth proportional to 428.72, 591.92 and 312.56 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 591.92 = 312.56 : x
  2. Step 2: Convert to fraction form
    428.72/591.92 = 312.56/x
  3. Step 3: Cross multiply
    428.72x = 591.92 × 312.56
  4. Step 4: Simplify right side
    428.72x = 185,010.52
  5. Step 5: Solve for x
    x = 185,010.52/428.72
  6. Step 6: Final answer
    x = 431.54

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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.