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Finding the Fourth Proportional to 536.66, 740.56 and 300.57

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Solution

The fourth proportional to 536.66, 740.56 and 300.57 is: 414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 740.56 = 300.57 : x
  2. Step 2: Convert to fraction form
    536.66/740.56 = 300.57/x
  3. Step 3: Cross multiply
    536.66x = 740.56 × 300.57
  4. Step 4: Simplify right side
    536.66x = 222,589.37
  5. Step 5: Solve for x
    x = 222,589.37/536.66
  6. Step 6: Final answer
    x = 414.77

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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.