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Finding the Fourth Proportional to 553.09, 763.25 and 304.41

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Solution

The fourth proportional to 553.09, 763.25 and 304.41 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.09 : 763.25 = 304.41 : x
  2. Step 2: Convert to fraction form
    553.09/763.25 = 304.41/x
  3. Step 3: Cross multiply
    553.09x = 763.25 × 304.41
  4. Step 4: Simplify right side
    553.09x = 232,339.41
  5. Step 5: Solve for x
    x = 232,339.41/553.09
  6. Step 6: Final answer
    x = 420.08

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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.