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Finding the Fourth Proportional to 476.31, 657.50 and 310.66

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Solution

The fourth proportional to 476.31, 657.50 and 310.66 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.31 : 657.50 = 310.66 : x
  2. Step 2: Convert to fraction form
    476.31/657.50 = 310.66/x
  3. Step 3: Cross multiply
    476.31x = 657.50 × 310.66
  4. Step 4: Simplify right side
    476.31x = 204,258.95
  5. Step 5: Solve for x
    x = 204,258.95/476.31
  6. Step 6: Final answer
    x = 428.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.