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Finding the Fourth Proportional to 418.12, 576.90 and 260.77

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Solution

The fourth proportional to 418.12, 576.90 and 260.77 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 576.90 = 260.77 : x
  2. Step 2: Convert to fraction form
    418.12/576.90 = 260.77/x
  3. Step 3: Cross multiply
    418.12x = 576.90 × 260.77
  4. Step 4: Simplify right side
    418.12x = 150,438.21
  5. Step 5: Solve for x
    x = 150,438.21/418.12
  6. Step 6: Final answer
    x = 359.80

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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.