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Finding the Fourth Proportional to 497.12, 685.94 and 298.01

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Solution

The fourth proportional to 497.12, 685.94 and 298.01 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 685.94 = 298.01 : x
  2. Step 2: Convert to fraction form
    497.12/685.94 = 298.01/x
  3. Step 3: Cross multiply
    497.12x = 685.94 × 298.01
  4. Step 4: Simplify right side
    497.12x = 204,412.06
  5. Step 5: Solve for x
    x = 204,412.06/497.12
  6. Step 6: Final answer
    x = 411.20

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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.