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Finding the Fourth Proportional to 575.80, 794.54 and 327.14

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Solution

The fourth proportional to 575.80, 794.54 and 327.14 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 794.54 = 327.14 : x
  2. Step 2: Convert to fraction form
    575.80/794.54 = 327.14/x
  3. Step 3: Cross multiply
    575.80x = 794.54 × 327.14
  4. Step 4: Simplify right side
    575.80x = 259,925.64
  5. Step 5: Solve for x
    x = 259,925.64/575.80
  6. Step 6: Final answer
    x = 451.42

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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.