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Finding the Fourth Proportional to 542.14, 751.19 and 535.12

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Solution

The fourth proportional to 542.14, 751.19 and 535.12 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 751.19 = 535.12 : x
  2. Step 2: Convert to fraction form
    542.14/751.19 = 535.12/x
  3. Step 3: Cross multiply
    542.14x = 751.19 × 535.12
  4. Step 4: Simplify right side
    542.14x = 401,976.79
  5. Step 5: Solve for x
    x = 401,976.79/542.14
  6. Step 6: Final answer
    x = 741.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.