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Finding the Fourth Proportional to 358.36, 494.55 and 232.35

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Solution

The fourth proportional to 358.36, 494.55 and 232.35 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 494.55 = 232.35 : x
  2. Step 2: Convert to fraction form
    358.36/494.55 = 232.35/x
  3. Step 3: Cross multiply
    358.36x = 494.55 × 232.35
  4. Step 4: Simplify right side
    358.36x = 114,911.56
  5. Step 5: Solve for x
    x = 114,911.56/358.36
  6. Step 6: Final answer
    x = 320.66

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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.