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Finding the Fourth Proportional to 428.51, 591.34 and 232.02

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Solution

The fourth proportional to 428.51, 591.34 and 232.02 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.51 : 591.34 = 232.02 : x
  2. Step 2: Convert to fraction form
    428.51/591.34 = 232.02/x
  3. Step 3: Cross multiply
    428.51x = 591.34 × 232.02
  4. Step 4: Simplify right side
    428.51x = 137,203.29
  5. Step 5: Solve for x
    x = 137,203.29/428.51
  6. Step 6: Final answer
    x = 320.19

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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.