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Finding the Fourth Proportional to 558.15, 769.23 and 400.80

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Solution

The fourth proportional to 558.15, 769.23 and 400.80 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.15 : 769.23 = 400.80 : x
  2. Step 2: Convert to fraction form
    558.15/769.23 = 400.80/x
  3. Step 3: Cross multiply
    558.15x = 769.23 × 400.80
  4. Step 4: Simplify right side
    558.15x = 308,307.38
  5. Step 5: Solve for x
    x = 308,307.38/558.15
  6. Step 6: Final answer
    x = 552.37

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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.