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Finding the Fourth Proportional to 536.41, 740.26 and 300.35

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Solution

The fourth proportional to 536.41, 740.26 and 300.35 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 740.26 = 300.35 : x
  2. Step 2: Convert to fraction form
    536.41/740.26 = 300.35/x
  3. Step 3: Cross multiply
    536.41x = 740.26 × 300.35
  4. Step 4: Simplify right side
    536.41x = 222,337.09
  5. Step 5: Solve for x
    x = 222,337.09/536.41
  6. Step 6: Final answer
    x = 414.49

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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.