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Finding the Fourth Proportional to 553.16, 830.09 and 309.85

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Solution

The fourth proportional to 553.16, 830.09 and 309.85 is: 464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 830.09 = 309.85 : x
  2. Step 2: Convert to fraction form
    553.16/830.09 = 309.85/x
  3. Step 3: Cross multiply
    553.16x = 830.09 × 309.85
  4. Step 4: Simplify right side
    553.16x = 257,197.69
  5. Step 5: Solve for x
    x = 257,197.69/553.16
  6. Step 6: Final answer
    x = 464.96

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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.