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Finding the Fourth Proportional to 553.15, 828.91 and 309.75

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Solution

The fourth proportional to 553.15, 828.91 and 309.75 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.15 : 828.91 = 309.75 : x
  2. Step 2: Convert to fraction form
    553.15/828.91 = 309.75/x
  3. Step 3: Cross multiply
    553.15x = 828.91 × 309.75
  4. Step 4: Simplify right side
    553.15x = 256,754.87
  5. Step 5: Solve for x
    x = 256,754.87/553.15
  6. Step 6: Final answer
    x = 464.17

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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.