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Finding the Fourth Proportional to 536.67, 744.37 and 514.80

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Solution

The fourth proportional to 536.67, 744.37 and 514.80 is: 714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 744.37 = 514.80 : x
  2. Step 2: Convert to fraction form
    536.67/744.37 = 514.80/x
  3. Step 3: Cross multiply
    536.67x = 744.37 × 514.80
  4. Step 4: Simplify right side
    536.67x = 383,200.39
  5. Step 5: Solve for x
    x = 383,200.39/536.67
  6. Step 6: Final answer
    x = 714.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.