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Finding the Fourth Proportional to 493.29, 679.59 and 410.27

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Solution

The fourth proportional to 493.29, 679.59 and 410.27 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 679.59 = 410.27 : x
  2. Step 2: Convert to fraction form
    493.29/679.59 = 410.27/x
  3. Step 3: Cross multiply
    493.29x = 679.59 × 410.27
  4. Step 4: Simplify right side
    493.29x = 278,811.99
  5. Step 5: Solve for x
    x = 278,811.99/493.29
  6. Step 6: Final answer
    x = 565.21

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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.