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Finding the Fourth Proportional to 499.56, 689.73 and 334.02

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Solution

The fourth proportional to 499.56, 689.73 and 334.02 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.56 : 689.73 = 334.02 : x
  2. Step 2: Convert to fraction form
    499.56/689.73 = 334.02/x
  3. Step 3: Cross multiply
    499.56x = 689.73 × 334.02
  4. Step 4: Simplify right side
    499.56x = 230,383.61
  5. Step 5: Solve for x
    x = 230,383.61/499.56
  6. Step 6: Final answer
    x = 461.17

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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.