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Finding the Fourth Proportional to 538, 741.91 and 328.21

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Solution

The fourth proportional to 538, 741.91 and 328.21 is: 452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 741.91 = 328.21 : x
  2. Step 2: Convert to fraction form
    538/741.91 = 328.21/x
  3. Step 3: Cross multiply
    538x = 741.91 × 328.21
  4. Step 4: Simplify right side
    538x = 243,502.28
  5. Step 5: Solve for x
    x = 243,502.28/538
  6. Step 6: Final answer
    x = 452.61

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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.