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Finding the Fourth Proportional to 536.80, 742.08 and 427.36

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Solution

The fourth proportional to 536.80, 742.08 and 427.36 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 742.08 = 427.36 : x
  2. Step 2: Convert to fraction form
    536.80/742.08 = 427.36/x
  3. Step 3: Cross multiply
    536.80x = 742.08 × 427.36
  4. Step 4: Simplify right side
    536.80x = 317,135.31
  5. Step 5: Solve for x
    x = 317,135.31/536.80
  6. Step 6: Final answer
    x = 590.79

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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.