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Finding the Fourth Proportional to 552.93, 763.03 and 304.25

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Solution

The fourth proportional to 552.93, 763.03 and 304.25 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 763.03 = 304.25 : x
  2. Step 2: Convert to fraction form
    552.93/763.03 = 304.25/x
  3. Step 3: Cross multiply
    552.93x = 763.03 × 304.25
  4. Step 4: Simplify right side
    552.93x = 232,151.88
  5. Step 5: Solve for x
    x = 232,151.88/552.93
  6. Step 6: Final answer
    x = 419.86

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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.