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Finding the Fourth Proportional to 552.36, 828 and 277.62

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Solution

The fourth proportional to 552.36, 828 and 277.62 is: 416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 828 = 277.62 : x
  2. Step 2: Convert to fraction form
    552.36/828 = 277.62/x
  3. Step 3: Cross multiply
    552.36x = 828 × 277.62
  4. Step 4: Simplify right side
    552.36x = 229,869.36
  5. Step 5: Solve for x
    x = 229,869.36/552.36
  6. Step 6: Final answer
    x = 416.16

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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.