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Finding the Fourth Proportional to 497.06, 685.96 and 276.01

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Solution

The fourth proportional to 497.06, 685.96 and 276.01 is: 380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 685.96 = 276.01 : x
  2. Step 2: Convert to fraction form
    497.06/685.96 = 276.01/x
  3. Step 3: Cross multiply
    497.06x = 685.96 × 276.01
  4. Step 4: Simplify right side
    497.06x = 189,329.41
  5. Step 5: Solve for x
    x = 189,329.41/497.06
  6. Step 6: Final answer
    x = 380.90

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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.