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Finding the Fourth Proportional to 552.74, 828.08 and 278.17

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Solution

The fourth proportional to 552.74, 828.08 and 278.17 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 828.08 = 278.17 : x
  2. Step 2: Convert to fraction form
    552.74/828.08 = 278.17/x
  3. Step 3: Cross multiply
    552.74x = 828.08 × 278.17
  4. Step 4: Simplify right side
    552.74x = 230,345.64
  5. Step 5: Solve for x
    x = 230,345.64/552.74
  6. Step 6: Final answer
    x = 416.74

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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.