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Finding the Fourth Proportional to 428.90, 591.88 and 232.41

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Solution

The fourth proportional to 428.90, 591.88 and 232.41 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.88 = 232.41 : x
  2. Step 2: Convert to fraction form
    428.90/591.88 = 232.41/x
  3. Step 3: Cross multiply
    428.90x = 591.88 × 232.41
  4. Step 4: Simplify right side
    428.90x = 137,558.83
  5. Step 5: Solve for x
    x = 137,558.83/428.90
  6. Step 6: Final answer
    x = 320.72

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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.