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Finding the Fourth Proportional to 428.72, 590.96 and 345.44

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Solution

The fourth proportional to 428.72, 590.96 and 345.44 is: 476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 590.96 = 345.44 : x
  2. Step 2: Convert to fraction form
    428.72/590.96 = 345.44/x
  3. Step 3: Cross multiply
    428.72x = 590.96 × 345.44
  4. Step 4: Simplify right side
    428.72x = 204,141.22
  5. Step 5: Solve for x
    x = 204,141.22/428.72
  6. Step 6: Final answer
    x = 476.16

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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.