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Finding the Fourth Proportional to 542.36, 812.28 and 538.32

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Solution

The fourth proportional to 542.36, 812.28 and 538.32 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 812.28 = 538.32 : x
  2. Step 2: Convert to fraction form
    542.36/812.28 = 538.32/x
  3. Step 3: Cross multiply
    542.36x = 812.28 × 538.32
  4. Step 4: Simplify right side
    542.36x = 437,266.57
  5. Step 5: Solve for x
    x = 437,266.57/542.36
  6. Step 6: Final answer
    x = 806.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.