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Finding the Fourth Proportional to 476.57, 657.09 and 310.52

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Solution

The fourth proportional to 476.57, 657.09 and 310.52 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.57 : 657.09 = 310.52 : x
  2. Step 2: Convert to fraction form
    476.57/657.09 = 310.52/x
  3. Step 3: Cross multiply
    476.57x = 657.09 × 310.52
  4. Step 4: Simplify right side
    476.57x = 204,036.30
  5. Step 5: Solve for x
    x = 204,036.30/476.57
  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.