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Finding the Fourth Proportional to 476.16, 656.96 and 310.31

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Solution

The fourth proportional to 476.16, 656.96 and 310.31 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 656.96 = 310.31 : x
  2. Step 2: Convert to fraction form
    476.16/656.96 = 310.31/x
  3. Step 3: Cross multiply
    476.16x = 656.96 × 310.31
  4. Step 4: Simplify right side
    476.16x = 203,861.35
  5. Step 5: Solve for x
    x = 203,861.35/476.16
  6. Step 6: Final answer
    x = 428.14

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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.