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Finding the Fourth Proportional to 553.65, 829.49 and 309.75

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Solution

The fourth proportional to 553.65, 829.49 and 309.75 is: 464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.65 : 829.49 = 309.75 : x
  2. Step 2: Convert to fraction form
    553.65/829.49 = 309.75/x
  3. Step 3: Cross multiply
    553.65x = 829.49 × 309.75
  4. Step 4: Simplify right side
    553.65x = 256,932.98
  5. Step 5: Solve for x
    x = 256,932.98/553.65
  6. Step 6: Final answer
    x = 464.07

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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.