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Finding the Fourth Proportional to 417.77, 576.28 and 319.49

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Solution

The fourth proportional to 417.77, 576.28 and 319.49 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.77 : 576.28 = 319.49 : x
  2. Step 2: Convert to fraction form
    417.77/576.28 = 319.49/x
  3. Step 3: Cross multiply
    417.77x = 576.28 × 319.49
  4. Step 4: Simplify right side
    417.77x = 184,112.02
  5. Step 5: Solve for x
    x = 184,112.02/417.77
  6. Step 6: Final answer
    x = 440.71

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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.