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Finding the Fourth Proportional to 537.34, 736.70 and 527.62

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Solution

The fourth proportional to 537.34, 736.70 and 527.62 is: 723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.34 : 736.70 = 527.62 : x
  2. Step 2: Convert to fraction form
    537.34/736.70 = 527.62/x
  3. Step 3: Cross multiply
    537.34x = 736.70 × 527.62
  4. Step 4: Simplify right side
    537.34x = 388,697.65
  5. Step 5: Solve for x
    x = 388,697.65/537.34
  6. Step 6: Final answer
    x = 723.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.