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Finding the Fourth Proportional to 496.11, 684.55 and 297.01

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Solution

The fourth proportional to 496.11, 684.55 and 297.01 is: 409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.11 : 684.55 = 297.01 : x
  2. Step 2: Convert to fraction form
    496.11/684.55 = 297.01/x
  3. Step 3: Cross multiply
    496.11x = 684.55 × 297.01
  4. Step 4: Simplify right side
    496.11x = 203,318.20
  5. Step 5: Solve for x
    x = 203,318.20/496.11
  6. Step 6: Final answer
    x = 409.82

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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.