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Finding the Fourth Proportional to 553.06, 828.37 and 228.05

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Solution

The fourth proportional to 553.06, 828.37 and 228.05 is: 341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.06 : 828.37 = 228.05 : x
  2. Step 2: Convert to fraction form
    553.06/828.37 = 228.05/x
  3. Step 3: Cross multiply
    553.06x = 828.37 × 228.05
  4. Step 4: Simplify right side
    553.06x = 188,904.50
  5. Step 5: Solve for x
    x = 188,904.50/553.06
  6. Step 6: Final answer
    x = 341.57

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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.