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Finding the Fourth Proportional to 271.79, 405.56 and 265.58

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Solution

The fourth proportional to 271.79, 405.56 and 265.58 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.79 : 405.56 = 265.58 : x
  2. Step 2: Convert to fraction form
    271.79/405.56 = 265.58/x
  3. Step 3: Cross multiply
    271.79x = 405.56 × 265.58
  4. Step 4: Simplify right side
    271.79x = 107,705.27
  5. Step 5: Solve for x
    x = 107,705.27/271.79
  6. Step 6: Final answer
    x = 396.29

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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.