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Finding the Fourth Proportional to 476.14, 657 and 310.66

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Solution

The fourth proportional to 476.14, 657 and 310.66 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.14 : 657 = 310.66 : x
  2. Step 2: Convert to fraction form
    476.14/657 = 310.66/x
  3. Step 3: Cross multiply
    476.14x = 657 × 310.66
  4. Step 4: Simplify right side
    476.14x = 204,103.62
  5. Step 5: Solve for x
    x = 204,103.62/476.14
  6. Step 6: Final answer
    x = 428.66

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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.