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Finding the Fourth Proportional to 552.23, 828.33 and 278.17

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Solution

The fourth proportional to 552.23, 828.33 and 278.17 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.23 : 828.33 = 278.17 : x
  2. Step 2: Convert to fraction form
    552.23/828.33 = 278.17/x
  3. Step 3: Cross multiply
    552.23x = 828.33 × 278.17
  4. Step 4: Simplify right side
    552.23x = 230,416.56
  5. Step 5: Solve for x
    x = 230,416.56/552.23
  6. Step 6: Final answer
    x = 417.25

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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.