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Finding the Fourth Proportional to 536.85, 740.75 and 327.08

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Solution

The fourth proportional to 536.85, 740.75 and 327.08 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 740.75 = 327.08 : x
  2. Step 2: Convert to fraction form
    536.85/740.75 = 327.08/x
  3. Step 3: Cross multiply
    536.85x = 740.75 × 327.08
  4. Step 4: Simplify right side
    536.85x = 242,284.73
  5. Step 5: Solve for x
    x = 242,284.73/536.85
  6. Step 6: Final answer
    x = 451.31

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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.