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Finding the Fourth Proportional to 499.07, 688.63 and 289.27

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Solution

The fourth proportional to 499.07, 688.63 and 289.27 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.07 : 688.63 = 289.27 : x
  2. Step 2: Convert to fraction form
    499.07/688.63 = 289.27/x
  3. Step 3: Cross multiply
    499.07x = 688.63 × 289.27
  4. Step 4: Simplify right side
    499.07x = 199,200.00
  5. Step 5: Solve for x
    x = 199,200.00/499.07
  6. Step 6: Final answer
    x = 399.14

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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.