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Finding the Fourth Proportional to 553.32, 829.62 and 206.64

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Solution

The fourth proportional to 553.32, 829.62 and 206.64 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.32 : 829.62 = 206.64 : x
  2. Step 2: Convert to fraction form
    553.32/829.62 = 206.64/x
  3. Step 3: Cross multiply
    553.32x = 829.62 × 206.64
  4. Step 4: Simplify right side
    553.32x = 171,432.68
  5. Step 5: Solve for x
    x = 171,432.68/553.32
  6. Step 6: Final answer
    x = 309.83

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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.