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Finding the Fourth Proportional to 536.98, 741.08 and 327.10

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Solution

The fourth proportional to 536.98, 741.08 and 327.10 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.98 : 741.08 = 327.10 : x
  2. Step 2: Convert to fraction form
    536.98/741.08 = 327.10/x
  3. Step 3: Cross multiply
    536.98x = 741.08 × 327.10
  4. Step 4: Simplify right side
    536.98x = 242,407.27
  5. Step 5: Solve for x
    x = 242,407.27/536.98
  6. Step 6: Final answer
    x = 451.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.