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Finding the Fourth Proportional to 538.28, 744.36 and 511.82

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Solution

The fourth proportional to 538.28, 744.36 and 511.82 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.28 : 744.36 = 511.82 : x
  2. Step 2: Convert to fraction form
    538.28/744.36 = 511.82/x
  3. Step 3: Cross multiply
    538.28x = 744.36 × 511.82
  4. Step 4: Simplify right side
    538.28x = 380,978.34
  5. Step 5: Solve for x
    x = 380,978.34/538.28
  6. Step 6: Final answer
    x = 707.77

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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.