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Finding the Fourth Proportional to 428.66, 591.54 and 232.16

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Solution

The fourth proportional to 428.66, 591.54 and 232.16 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.66 : 591.54 = 232.16 : x
  2. Step 2: Convert to fraction form
    428.66/591.54 = 232.16/x
  3. Step 3: Cross multiply
    428.66x = 591.54 × 232.16
  4. Step 4: Simplify right side
    428.66x = 137,328.97
  5. Step 5: Solve for x
    x = 137,328.97/428.66
  6. Step 6: Final answer
    x = 320.37

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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.