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Finding the Fourth Proportional to 358.37, 538.01 and 277.27

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Solution

The fourth proportional to 358.37, 538.01 and 277.27 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.37 : 538.01 = 277.27 : x
  2. Step 2: Convert to fraction form
    358.37/538.01 = 277.27/x
  3. Step 3: Cross multiply
    358.37x = 538.01 × 277.27
  4. Step 4: Simplify right side
    358.37x = 149,174.03
  5. Step 5: Solve for x
    x = 149,174.03/358.37
  6. Step 6: Final answer
    x = 416.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.