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Finding the Fourth Proportional to 554.20, 829.24 and 347.80

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Solution

The fourth proportional to 554.20, 829.24 and 347.80 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.20 : 829.24 = 347.80 : x
  2. Step 2: Convert to fraction form
    554.20/829.24 = 347.80/x
  3. Step 3: Cross multiply
    554.20x = 829.24 × 347.80
  4. Step 4: Simplify right side
    554.20x = 288,407.85
  5. Step 5: Solve for x
    x = 288,407.85/554.20
  6. Step 6: Final answer
    x = 520.41

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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.