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Finding the Fourth Proportional to 417.80, 576.56 and 249.77

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Solution

The fourth proportional to 417.80, 576.56 and 249.77 is: 344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 576.56 = 249.77 : x
  2. Step 2: Convert to fraction form
    417.80/576.56 = 249.77/x
  3. Step 3: Cross multiply
    417.80x = 576.56 × 249.77
  4. Step 4: Simplify right side
    417.80x = 144,009.46
  5. Step 5: Solve for x
    x = 144,009.46/417.80
  6. Step 6: Final answer
    x = 344.68

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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.