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Finding the Fourth Proportional to 358.15, 493.82 and 332.23

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Solution

The fourth proportional to 358.15, 493.82 and 332.23 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.15 : 493.82 = 332.23 : x
  2. Step 2: Convert to fraction form
    358.15/493.82 = 332.23/x
  3. Step 3: Cross multiply
    358.15x = 493.82 × 332.23
  4. Step 4: Simplify right side
    358.15x = 164,059.35
  5. Step 5: Solve for x
    x = 164,059.35/358.15
  6. Step 6: Final answer
    x = 458.08

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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.