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Finding the Fourth Proportional to 498.71, 685.92 and 400.25

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Solution

The fourth proportional to 498.71, 685.92 and 400.25 is: 550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.71 : 685.92 = 400.25 : x
  2. Step 2: Convert to fraction form
    498.71/685.92 = 400.25/x
  3. Step 3: Cross multiply
    498.71x = 685.92 × 400.25
  4. Step 4: Simplify right side
    498.71x = 274,536.05
  5. Step 5: Solve for x
    x = 274,536.05/498.71
  6. Step 6: Final answer
    x = 550.50

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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.