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Finding the Fourth Proportional to 553.55, 763.89 and 301.47

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Solution

The fourth proportional to 553.55, 763.89 and 301.47 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.55 : 763.89 = 301.47 : x
  2. Step 2: Convert to fraction form
    553.55/763.89 = 301.47/x
  3. Step 3: Cross multiply
    553.55x = 763.89 × 301.47
  4. Step 4: Simplify right side
    553.55x = 230,288.41
  5. Step 5: Solve for x
    x = 230,288.41/553.55
  6. Step 6: Final answer
    x = 416.02

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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.