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Finding the Fourth Proportional to 428.80, 591.90 and 310.96

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Solution

The fourth proportional to 428.80, 591.90 and 310.96 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.80 : 591.90 = 310.96 : x
  2. Step 2: Convert to fraction form
    428.80/591.90 = 310.96/x
  3. Step 3: Cross multiply
    428.80x = 591.90 × 310.96
  4. Step 4: Simplify right side
    428.80x = 184,057.22
  5. Step 5: Solve for x
    x = 184,057.22/428.80
  6. Step 6: Final answer
    x = 429.24

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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.