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Finding the Fourth Proportional to 428.49, 591.33 and 232.01

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Solution

The fourth proportional to 428.49, 591.33 and 232.01 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 591.33 = 232.01 : x
  2. Step 2: Convert to fraction form
    428.49/591.33 = 232.01/x
  3. Step 3: Cross multiply
    428.49x = 591.33 × 232.01
  4. Step 4: Simplify right side
    428.49x = 137,193.31
  5. Step 5: Solve for x
    x = 137,193.31/428.49
  6. Step 6: Final answer
    x = 320.18

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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.