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Finding the Fourth Proportional to 685.02, 944.46 and 498.36

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Solution

The fourth proportional to 685.02, 944.46 and 498.36 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 944.46 = 498.36 : x
  2. Step 2: Convert to fraction form
    685.02/944.46 = 498.36/x
  3. Step 3: Cross multiply
    685.02x = 944.46 × 498.36
  4. Step 4: Simplify right side
    685.02x = 470,681.09
  5. Step 5: Solve for x
    x = 470,681.09/685.02
  6. Step 6: Final answer
    x = 687.11

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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.