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Finding the Fourth Proportional to 417.94, 576.24 and 319.54

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Solution

The fourth proportional to 417.94, 576.24 and 319.54 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 576.24 = 319.54 : x
  2. Step 2: Convert to fraction form
    417.94/576.24 = 319.54/x
  3. Step 3: Cross multiply
    417.94x = 576.24 × 319.54
  4. Step 4: Simplify right side
    417.94x = 184,131.73
  5. Step 5: Solve for x
    x = 184,131.73/417.94
  6. Step 6: Final answer
    x = 440.57

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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.