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Finding the Fourth Proportional to 358.08, 493.95 and 210.69

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Solution

The fourth proportional to 358.08, 493.95 and 210.69 is: 290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.08 : 493.95 = 210.69 : x
  2. Step 2: Convert to fraction form
    358.08/493.95 = 210.69/x
  3. Step 3: Cross multiply
    358.08x = 493.95 × 210.69
  4. Step 4: Simplify right side
    358.08x = 104,067.86
  5. Step 5: Solve for x
    x = 104,067.86/358.08
  6. Step 6: Final answer
    x = 290.63

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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.