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Finding the Fourth Proportional to 499.31, 688.79 and 333.53

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Solution

The fourth proportional to 499.31, 688.79 and 333.53 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.31 : 688.79 = 333.53 : x
  2. Step 2: Convert to fraction form
    499.31/688.79 = 333.53/x
  3. Step 3: Cross multiply
    499.31x = 688.79 × 333.53
  4. Step 4: Simplify right side
    499.31x = 229,730.46
  5. Step 5: Solve for x
    x = 229,730.46/499.31
  6. Step 6: Final answer
    x = 460.10

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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.