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Finding the Fourth Proportional to 553.95, 830.43 and 229.14

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Solution

The fourth proportional to 553.95, 830.43 and 229.14 is: 343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 830.43 = 229.14 : x
  2. Step 2: Convert to fraction form
    553.95/830.43 = 229.14/x
  3. Step 3: Cross multiply
    553.95x = 830.43 × 229.14
  4. Step 4: Simplify right side
    553.95x = 190,284.73
  5. Step 5: Solve for x
    x = 190,284.73/553.95
  6. Step 6: Final answer
    x = 343.51

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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.