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Finding the Fourth Proportional to 538.40, 743.16 and 341.90

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Solution

The fourth proportional to 538.40, 743.16 and 341.90 is: 471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 743.16 = 341.90 : x
  2. Step 2: Convert to fraction form
    538.40/743.16 = 341.90/x
  3. Step 3: Cross multiply
    538.40x = 743.16 × 341.90
  4. Step 4: Simplify right side
    538.40x = 254,086.40
  5. Step 5: Solve for x
    x = 254,086.40/538.40
  6. Step 6: Final answer
    x = 471.93

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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.