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Finding the Fourth Proportional to 428.56, 590.64 and 354.48

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Solution

The fourth proportional to 428.56, 590.64 and 354.48 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 590.64 = 354.48 : x
  2. Step 2: Convert to fraction form
    428.56/590.64 = 354.48/x
  3. Step 3: Cross multiply
    428.56x = 590.64 × 354.48
  4. Step 4: Simplify right side
    428.56x = 209,370.07
  5. Step 5: Solve for x
    x = 209,370.07/428.56
  6. Step 6: Final answer
    x = 488.54

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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.