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Finding the Fourth Proportional to 403.24, 556.40 and 237.48

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Solution

The fourth proportional to 403.24, 556.40 and 237.48 is: 327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.24 : 556.40 = 237.48 : x
  2. Step 2: Convert to fraction form
    403.24/556.40 = 237.48/x
  3. Step 3: Cross multiply
    403.24x = 556.40 × 237.48
  4. Step 4: Simplify right side
    403.24x = 132,133.87
  5. Step 5: Solve for x
    x = 132,133.87/403.24
  6. Step 6: Final answer
    x = 327.68

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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.