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Finding the Fourth Proportional to 271.15, 403.79 and 264.77

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Solution

The fourth proportional to 271.15, 403.79 and 264.77 is: 394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.15 : 403.79 = 264.77 : x
  2. Step 2: Convert to fraction form
    271.15/403.79 = 264.77/x
  3. Step 3: Cross multiply
    271.15x = 403.79 × 264.77
  4. Step 4: Simplify right side
    271.15x = 106,909.65
  5. Step 5: Solve for x
    x = 106,909.65/271.15
  6. Step 6: Final answer
    x = 394.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.