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Finding the Fourth Proportional to 553.19, 830.07 and 228.78

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Solution

The fourth proportional to 553.19, 830.07 and 228.78 is: 343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.19 : 830.07 = 228.78 : x
  2. Step 2: Convert to fraction form
    553.19/830.07 = 228.78/x
  3. Step 3: Cross multiply
    553.19x = 830.07 × 228.78
  4. Step 4: Simplify right side
    553.19x = 189,903.41
  5. Step 5: Solve for x
    x = 189,903.41/553.19
  6. Step 6: Final answer
    x = 343.29

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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.