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Finding the Fourth Proportional to 499.69, 689.47 and 313.26

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Solution

The fourth proportional to 499.69, 689.47 and 313.26 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 689.47 = 313.26 : x
  2. Step 2: Convert to fraction form
    499.69/689.47 = 313.26/x
  3. Step 3: Cross multiply
    499.69x = 689.47 × 313.26
  4. Step 4: Simplify right side
    499.69x = 215,983.37
  5. Step 5: Solve for x
    x = 215,983.37/499.69
  6. Step 6: Final answer
    x = 432.23

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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.