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Finding the Fourth Proportional to 428.10, 590.41 and 334.70

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Solution

The fourth proportional to 428.10, 590.41 and 334.70 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.10 : 590.41 = 334.70 : x
  2. Step 2: Convert to fraction form
    428.10/590.41 = 334.70/x
  3. Step 3: Cross multiply
    428.10x = 590.41 × 334.70
  4. Step 4: Simplify right side
    428.10x = 197,610.23
  5. Step 5: Solve for x
    x = 197,610.23/428.10
  6. Step 6: Final answer
    x = 461.60

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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.