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Finding the Fourth Proportional to 476.50, 657.84 and 321.52

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Solution

The fourth proportional to 476.50, 657.84 and 321.52 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 657.84 = 321.52 : x
  2. Step 2: Convert to fraction form
    476.50/657.84 = 321.52/x
  3. Step 3: Cross multiply
    476.50x = 657.84 × 321.52
  4. Step 4: Simplify right side
    476.50x = 211,508.72
  5. Step 5: Solve for x
    x = 211,508.72/476.50
  6. Step 6: Final answer
    x = 443.88

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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.