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Finding the Fourth Proportional to 424.05, 585.20 and 258.27

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Solution

The fourth proportional to 424.05, 585.20 and 258.27 is: 356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.05 : 585.20 = 258.27 : x
  2. Step 2: Convert to fraction form
    424.05/585.20 = 258.27/x
  3. Step 3: Cross multiply
    424.05x = 585.20 × 258.27
  4. Step 4: Simplify right side
    424.05x = 151,138.31
  5. Step 5: Solve for x
    x = 151,138.31/424.05
  6. Step 6: Final answer
    x = 356.42

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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.