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Finding the Fourth Proportional to 500.97, 754.33 and 364.96

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Solution

The fourth proportional to 500.97, 754.33 and 364.96 is: 549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.97 : 754.33 = 364.96 : x
  2. Step 2: Convert to fraction form
    500.97/754.33 = 364.96/x
  3. Step 3: Cross multiply
    500.97x = 754.33 × 364.96
  4. Step 4: Simplify right side
    500.97x = 275,300.28
  5. Step 5: Solve for x
    x = 275,300.28/500.97
  6. Step 6: Final answer
    x = 549.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.