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Finding the Fourth Proportional to 552.72, 762.77 and 304.06

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Solution

The fourth proportional to 552.72, 762.77 and 304.06 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 762.77 = 304.06 : x
  2. Step 2: Convert to fraction form
    552.72/762.77 = 304.06/x
  3. Step 3: Cross multiply
    552.72x = 762.77 × 304.06
  4. Step 4: Simplify right side
    552.72x = 231,927.85
  5. Step 5: Solve for x
    x = 231,927.85/552.72
  6. Step 6: Final answer
    x = 419.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.