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Finding the Fourth Proportional to 497.12, 685.98 and 276.06

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Solution

The fourth proportional to 497.12, 685.98 and 276.06 is: 380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 685.98 = 276.06 : x
  2. Step 2: Convert to fraction form
    497.12/685.98 = 276.06/x
  3. Step 3: Cross multiply
    497.12x = 685.98 × 276.06
  4. Step 4: Simplify right side
    497.12x = 189,371.64
  5. Step 5: Solve for x
    x = 189,371.64/497.12
  6. Step 6: Final answer
    x = 380.94

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Why These Related Problems?

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