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Finding the Fourth Proportional to 553.72, 828.96 and 309.92

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Solution

The fourth proportional to 553.72, 828.96 and 309.92 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.72 : 828.96 = 309.92 : x
  2. Step 2: Convert to fraction form
    553.72/828.96 = 309.92/x
  3. Step 3: Cross multiply
    553.72x = 828.96 × 309.92
  4. Step 4: Simplify right side
    553.72x = 256,911.28
  5. Step 5: Solve for x
    x = 256,911.28/553.72
  6. Step 6: Final answer
    x = 463.97

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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.