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Finding the Fourth Proportional to 427.50, 590.14 and 327.94

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Solution

The fourth proportional to 427.50, 590.14 and 327.94 is: 452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 590.14 = 327.94 : x
  2. Step 2: Convert to fraction form
    427.50/590.14 = 327.94/x
  3. Step 3: Cross multiply
    427.50x = 590.14 × 327.94
  4. Step 4: Simplify right side
    427.50x = 193,530.51
  5. Step 5: Solve for x
    x = 193,530.51/427.50
  6. Step 6: Final answer
    x = 452.70

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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.