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Finding the Fourth Proportional to 653.20, 977.37 and 363.22

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Solution

The fourth proportional to 653.20, 977.37 and 363.22 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.20 : 977.37 = 363.22 : x
  2. Step 2: Convert to fraction form
    653.20/977.37 = 363.22/x
  3. Step 3: Cross multiply
    653.20x = 977.37 × 363.22
  4. Step 4: Simplify right side
    653.20x = 355,000.33
  5. Step 5: Solve for x
    x = 355,000.33/653.20
  6. Step 6: Final answer
    x = 543.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.