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Finding the Fourth Proportional to 591.11, 813.86 and 536.43

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Solution

The fourth proportional to 591.11, 813.86 and 536.43 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.11 : 813.86 = 536.43 : x
  2. Step 2: Convert to fraction form
    591.11/813.86 = 536.43/x
  3. Step 3: Cross multiply
    591.11x = 813.86 × 536.43
  4. Step 4: Simplify right side
    591.11x = 436,576.24
  5. Step 5: Solve for x
    x = 436,576.24/591.11
  6. Step 6: Final answer
    x = 738.58

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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.