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Finding the Fourth Proportional to 553.86, 764.29 and 317.82

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Solution

The fourth proportional to 553.86, 764.29 and 317.82 is: 438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 764.29 = 317.82 : x
  2. Step 2: Convert to fraction form
    553.86/764.29 = 317.82/x
  3. Step 3: Cross multiply
    553.86x = 764.29 × 317.82
  4. Step 4: Simplify right side
    553.86x = 242,906.65
  5. Step 5: Solve for x
    x = 242,906.65/553.86
  6. Step 6: Final answer
    x = 438.57

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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.