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Finding the Fourth Proportional to 541.14, 751.78 and 536.08

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Solution

The fourth proportional to 541.14, 751.78 and 536.08 is: 744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 751.78 = 536.08 : x
  2. Step 2: Convert to fraction form
    541.14/751.78 = 536.08/x
  3. Step 3: Cross multiply
    541.14x = 751.78 × 536.08
  4. Step 4: Simplify right side
    541.14x = 403,014.22
  5. Step 5: Solve for x
    x = 403,014.22/541.14
  6. Step 6: Final answer
    x = 744.75

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Why These Related Problems?

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