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Finding the Fourth Proportional to 499.47, 689.46 and 333.63

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Solution

The fourth proportional to 499.47, 689.46 and 333.63 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 689.46 = 333.63 : x
  2. Step 2: Convert to fraction form
    499.47/689.46 = 333.63/x
  3. Step 3: Cross multiply
    499.47x = 689.46 × 333.63
  4. Step 4: Simplify right side
    499.47x = 230,024.54
  5. Step 5: Solve for x
    x = 230,024.54/499.47
  6. Step 6: Final answer
    x = 460.54

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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.