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Finding the Fourth Proportional to 428.71, 591.00 and 281.08

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Solution

The fourth proportional to 428.71, 591.00 and 281.08 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.71 : 591.00 = 281.08 : x
  2. Step 2: Convert to fraction form
    428.71/591.00 = 281.08/x
  3. Step 3: Cross multiply
    428.71x = 591.00 × 281.08
  4. Step 4: Simplify right side
    428.71x = 166,119.09
  5. Step 5: Solve for x
    x = 166,119.09/428.71
  6. Step 6: Final answer
    x = 387.49

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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.