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Finding the Fourth Proportional to 538.95, 743.28 and 352.45

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Solution

The fourth proportional to 538.95, 743.28 and 352.45 is: 486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.95 : 743.28 = 352.45 : x
  2. Step 2: Convert to fraction form
    538.95/743.28 = 352.45/x
  3. Step 3: Cross multiply
    538.95x = 743.28 × 352.45
  4. Step 4: Simplify right side
    538.95x = 261,968.64
  5. Step 5: Solve for x
    x = 261,968.64/538.95
  6. Step 6: Final answer
    x = 486.07

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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.