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Finding the Fourth Proportional to 553.20, 829.83 and 347.46

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Solution

The fourth proportional to 553.20, 829.83 and 347.46 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.20 : 829.83 = 347.46 : x
  2. Step 2: Convert to fraction form
    553.20/829.83 = 347.46/x
  3. Step 3: Cross multiply
    553.20x = 829.83 × 347.46
  4. Step 4: Simplify right side
    553.20x = 288,332.73
  5. Step 5: Solve for x
    x = 288,332.73/553.20
  6. Step 6: Final answer
    x = 521.21

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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.