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Finding the Fourth Proportional to 417.81, 576.83 and 262.77

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Solution

The fourth proportional to 417.81, 576.83 and 262.77 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 576.83 = 262.77 : x
  2. Step 2: Convert to fraction form
    417.81/576.83 = 262.77/x
  3. Step 3: Cross multiply
    417.81x = 576.83 × 262.77
  4. Step 4: Simplify right side
    417.81x = 151,572.31
  5. Step 5: Solve for x
    x = 151,572.31/417.81
  6. Step 6: Final answer
    x = 362.78

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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.