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Finding the Fourth Proportional to 552.02, 827.59 and 277.86

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Solution

The fourth proportional to 552.02, 827.59 and 277.86 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 827.59 = 277.86 : x
  2. Step 2: Convert to fraction form
    552.02/827.59 = 277.86/x
  3. Step 3: Cross multiply
    552.02x = 827.59 × 277.86
  4. Step 4: Simplify right side
    552.02x = 229,954.16
  5. Step 5: Solve for x
    x = 229,954.16/552.02
  6. Step 6: Final answer
    x = 416.57

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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.