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Finding the Fourth Proportional to 553.25, 763.44 and 317.27

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Solution

The fourth proportional to 553.25, 763.44 and 317.27 is: 437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.25 : 763.44 = 317.27 : x
  2. Step 2: Convert to fraction form
    553.25/763.44 = 317.27/x
  3. Step 3: Cross multiply
    553.25x = 763.44 × 317.27
  4. Step 4: Simplify right side
    553.25x = 242,216.61
  5. Step 5: Solve for x
    x = 242,216.61/553.25
  6. Step 6: Final answer
    x = 437.81

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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.