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Finding the Fourth Proportional to 428.17, 590.82 and 251.08

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Solution

The fourth proportional to 428.17, 590.82 and 251.08 is: 346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.17 : 590.82 = 251.08 : x
  2. Step 2: Convert to fraction form
    428.17/590.82 = 251.08/x
  3. Step 3: Cross multiply
    428.17x = 590.82 × 251.08
  4. Step 4: Simplify right side
    428.17x = 148,343.09
  5. Step 5: Solve for x
    x = 148,343.09/428.17
  6. Step 6: Final answer
    x = 346.46

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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.