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Finding the Fourth Proportional to 499.50, 689.72 and 334.13

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Solution

The fourth proportional to 499.50, 689.72 and 334.13 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 689.72 = 334.13 : x
  2. Step 2: Convert to fraction form
    499.50/689.72 = 334.13/x
  3. Step 3: Cross multiply
    499.50x = 689.72 × 334.13
  4. Step 4: Simplify right side
    499.50x = 230,451.02
  5. Step 5: Solve for x
    x = 230,451.02/499.50
  6. Step 6: Final answer
    x = 461.36

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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.