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Finding the Fourth Proportional to 655.20, 904.50 and 548.82

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Solution

The fourth proportional to 655.20, 904.50 and 548.82 is: 757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 904.50 = 548.82 : x
  2. Step 2: Convert to fraction form
    655.20/904.50 = 548.82/x
  3. Step 3: Cross multiply
    655.20x = 904.50 × 548.82
  4. Step 4: Simplify right side
    655.20x = 496,407.69
  5. Step 5: Solve for x
    x = 496,407.69/655.20
  6. Step 6: Final answer
    x = 757.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.