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Finding the Fourth Proportional to 428.21, 590.36 and 334.59

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Solution

The fourth proportional to 428.21, 590.36 and 334.59 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 590.36 = 334.59 : x
  2. Step 2: Convert to fraction form
    428.21/590.36 = 334.59/x
  3. Step 3: Cross multiply
    428.21x = 590.36 × 334.59
  4. Step 4: Simplify right side
    428.21x = 197,524.67
  5. Step 5: Solve for x
    x = 197,524.67/428.21
  6. Step 6: Final answer
    x = 461.28

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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.