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Finding the Fourth Proportional to 553.30, 763.44 and 317.26

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Solution

The fourth proportional to 553.30, 763.44 and 317.26 is: 437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.30 : 763.44 = 317.26 : x
  2. Step 2: Convert to fraction form
    553.30/763.44 = 317.26/x
  3. Step 3: Cross multiply
    553.30x = 763.44 × 317.26
  4. Step 4: Simplify right side
    553.30x = 242,208.97
  5. Step 5: Solve for x
    x = 242,208.97/553.30
  6. Step 6: Final answer
    x = 437.75

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