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Finding the Fourth Proportional to 428.53, 591.36 and 232.04

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Solution

The fourth proportional to 428.53, 591.36 and 232.04 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.53 : 591.36 = 232.04 : x
  2. Step 2: Convert to fraction form
    428.53/591.36 = 232.04/x
  3. Step 3: Cross multiply
    428.53x = 591.36 × 232.04
  4. Step 4: Simplify right side
    428.53x = 137,216.80
  5. Step 5: Solve for x
    x = 137,216.80/428.53
  6. Step 6: Final answer
    x = 320.21

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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.