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Finding the Fourth Proportional to 553.99, 830.85 and 229.45

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Solution

The fourth proportional to 553.99, 830.85 and 229.45 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.99 : 830.85 = 229.45 : x
  2. Step 2: Convert to fraction form
    553.99/830.85 = 229.45/x
  3. Step 3: Cross multiply
    553.99x = 830.85 × 229.45
  4. Step 4: Simplify right side
    553.99x = 190,638.53
  5. Step 5: Solve for x
    x = 190,638.53/553.99
  6. Step 6: Final answer
    x = 344.12

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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.