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Finding the Fourth Proportional to 428.84, 593.92 and 397.24

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Solution

The fourth proportional to 428.84, 593.92 and 397.24 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.84 : 593.92 = 397.24 : x
  2. Step 2: Convert to fraction form
    428.84/593.92 = 397.24/x
  3. Step 3: Cross multiply
    428.84x = 593.92 × 397.24
  4. Step 4: Simplify right side
    428.84x = 235,928.78
  5. Step 5: Solve for x
    x = 235,928.78/428.84
  6. Step 6: Final answer
    x = 550.16

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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.