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Finding the Fourth Proportional to 428.35, 591.01 and 288.73

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Solution

The fourth proportional to 428.35, 591.01 and 288.73 is: 398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.35 : 591.01 = 288.73 : x
  2. Step 2: Convert to fraction form
    428.35/591.01 = 288.73/x
  3. Step 3: Cross multiply
    428.35x = 591.01 × 288.73
  4. Step 4: Simplify right side
    428.35x = 170,642.32
  5. Step 5: Solve for x
    x = 170,642.32/428.35
  6. Step 6: Final answer
    x = 398.37

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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.