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Finding the Fourth Proportional to 468.56, 705.42 and 367.18

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Solution

The fourth proportional to 468.56, 705.42 and 367.18 is: 552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 705.42 = 367.18 : x
  2. Step 2: Convert to fraction form
    468.56/705.42 = 367.18/x
  3. Step 3: Cross multiply
    468.56x = 705.42 × 367.18
  4. Step 4: Simplify right side
    468.56x = 259,016.12
  5. Step 5: Solve for x
    x = 259,016.12/468.56
  6. Step 6: Final answer
    x = 552.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.