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Finding the Fourth Proportional to 417.78, 576.81 and 320.04

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Solution

The fourth proportional to 417.78, 576.81 and 320.04 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.78 : 576.81 = 320.04 : x
  2. Step 2: Convert to fraction form
    417.78/576.81 = 320.04/x
  3. Step 3: Cross multiply
    417.78x = 576.81 × 320.04
  4. Step 4: Simplify right side
    417.78x = 184,602.27
  5. Step 5: Solve for x
    x = 184,602.27/417.78
  6. Step 6: Final answer
    x = 441.86

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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.