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Finding the Fourth Proportional to 518.24, 713.28 and 401.60

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Solution

The fourth proportional to 518.24, 713.28 and 401.60 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 713.28 = 401.60 : x
  2. Step 2: Convert to fraction form
    518.24/713.28 = 401.60/x
  3. Step 3: Cross multiply
    518.24x = 713.28 × 401.60
  4. Step 4: Simplify right side
    518.24x = 286,453.25
  5. Step 5: Solve for x
    x = 286,453.25/518.24
  6. Step 6: Final answer
    x = 552.74

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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.