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Finding the Fourth Proportional to 358.31, 538.14 and 277.31

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Solution

The fourth proportional to 358.31, 538.14 and 277.31 is: 416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 538.14 = 277.31 : x
  2. Step 2: Convert to fraction form
    358.31/538.14 = 277.31/x
  3. Step 3: Cross multiply
    358.31x = 538.14 × 277.31
  4. Step 4: Simplify right side
    358.31x = 149,228.91
  5. Step 5: Solve for x
    x = 149,228.91/358.31
  6. Step 6: Final answer
    x = 416.49

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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.