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Finding the Fourth Proportional to 499.06, 688.79 and 289.20

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Solution

The fourth proportional to 499.06, 688.79 and 289.20 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.06 : 688.79 = 289.20 : x
  2. Step 2: Convert to fraction form
    499.06/688.79 = 289.20/x
  3. Step 3: Cross multiply
    499.06x = 688.79 × 289.20
  4. Step 4: Simplify right side
    499.06x = 199,196.62
  5. Step 5: Solve for x
    x = 199,196.62/499.06
  6. Step 6: Final answer
    x = 399.15

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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.