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Finding the Fourth Proportional to 536.30, 740.09 and 300.25

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Solution

The fourth proportional to 536.30, 740.09 and 300.25 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 740.09 = 300.25 : x
  2. Step 2: Convert to fraction form
    536.30/740.09 = 300.25/x
  3. Step 3: Cross multiply
    536.30x = 740.09 × 300.25
  4. Step 4: Simplify right side
    536.30x = 222,212.72
  5. Step 5: Solve for x
    x = 222,212.72/536.30
  6. Step 6: Final answer
    x = 414.34

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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.