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Finding the Fourth Proportional to 428.72, 591.56 and 251.66

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Solution

The fourth proportional to 428.72, 591.56 and 251.66 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 591.56 = 251.66 : x
  2. Step 2: Convert to fraction form
    428.72/591.56 = 251.66/x
  3. Step 3: Cross multiply
    428.72x = 591.56 × 251.66
  4. Step 4: Simplify right side
    428.72x = 148,867.77
  5. Step 5: Solve for x
    x = 148,867.77/428.72
  6. Step 6: Final answer
    x = 347.24

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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.