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Finding the Fourth Proportional to 499.57, 689.16 and 333.82

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Solution

The fourth proportional to 499.57, 689.16 and 333.82 is: 460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 689.16 = 333.82 : x
  2. Step 2: Convert to fraction form
    499.57/689.16 = 333.82/x
  3. Step 3: Cross multiply
    499.57x = 689.16 × 333.82
  4. Step 4: Simplify right side
    499.57x = 230,055.63
  5. Step 5: Solve for x
    x = 230,055.63/499.57
  6. Step 6: Final answer
    x = 460.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.