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Finding the Fourth Proportional to 499.62, 688.86 and 410.79

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Solution

The fourth proportional to 499.62, 688.86 and 410.79 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.62 : 688.86 = 410.79 : x
  2. Step 2: Convert to fraction form
    499.62/688.86 = 410.79/x
  3. Step 3: Cross multiply
    499.62x = 688.86 × 410.79
  4. Step 4: Simplify right side
    499.62x = 282,976.80
  5. Step 5: Solve for x
    x = 282,976.80/499.62
  6. Step 6: Final answer
    x = 566.38

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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.