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Finding the Fourth Proportional to 587.52, 804.96 and 543.96

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Solution

The fourth proportional to 587.52, 804.96 and 543.96 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 804.96 = 543.96 : x
  2. Step 2: Convert to fraction form
    587.52/804.96 = 543.96/x
  3. Step 3: Cross multiply
    587.52x = 804.96 × 543.96
  4. Step 4: Simplify right side
    587.52x = 437,866.04
  5. Step 5: Solve for x
    x = 437,866.04/587.52
  6. Step 6: Final answer
    x = 745.28

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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.