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Finding the Fourth Proportional to 543.49, 745.13 and 533.65

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Solution

The fourth proportional to 543.49, 745.13 and 533.65 is: 731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 745.13 = 533.65 : x
  2. Step 2: Convert to fraction form
    543.49/745.13 = 533.65/x
  3. Step 3: Cross multiply
    543.49x = 745.13 × 533.65
  4. Step 4: Simplify right side
    543.49x = 397,638.62
  5. Step 5: Solve for x
    x = 397,638.62/543.49
  6. Step 6: Final answer
    x = 731.64

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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.