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Finding the Fourth Proportional to 553.56, 829.83 and 347.50

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Solution

The fourth proportional to 553.56, 829.83 and 347.50 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.56 : 829.83 = 347.50 : x
  2. Step 2: Convert to fraction form
    553.56/829.83 = 347.50/x
  3. Step 3: Cross multiply
    553.56x = 829.83 × 347.50
  4. Step 4: Simplify right side
    553.56x = 288,365.93
  5. Step 5: Solve for x
    x = 288,365.93/553.56
  6. Step 6: Final answer
    x = 520.93

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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.