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Finding the Fourth Proportional to 476.29, 657.13 and 310.44

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Solution

The fourth proportional to 476.29, 657.13 and 310.44 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.29 : 657.13 = 310.44 : x
  2. Step 2: Convert to fraction form
    476.29/657.13 = 310.44/x
  3. Step 3: Cross multiply
    476.29x = 657.13 × 310.44
  4. Step 4: Simplify right side
    476.29x = 203,997.02
  5. Step 5: Solve for x
    x = 203,997.02/476.29
  6. Step 6: Final answer
    x = 428.31

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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.