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Finding the Fourth Proportional to 552.46, 828.96 and 264.10

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Solution

The fourth proportional to 552.46, 828.96 and 264.10 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.46 : 828.96 = 264.10 : x
  2. Step 2: Convert to fraction form
    552.46/828.96 = 264.10/x
  3. Step 3: Cross multiply
    552.46x = 828.96 × 264.10
  4. Step 4: Simplify right side
    552.46x = 218,928.34
  5. Step 5: Solve for x
    x = 218,928.34/552.46
  6. Step 6: Final answer
    x = 396.28

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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.