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Finding the Fourth Proportional to 418.04, 576.78 and 319.76

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Solution

The fourth proportional to 418.04, 576.78 and 319.76 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.04 : 576.78 = 319.76 : x
  2. Step 2: Convert to fraction form
    418.04/576.78 = 319.76/x
  3. Step 3: Cross multiply
    418.04x = 576.78 × 319.76
  4. Step 4: Simplify right side
    418.04x = 184,431.17
  5. Step 5: Solve for x
    x = 184,431.17/418.04
  6. Step 6: Final answer
    x = 441.18

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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.