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Finding the Fourth Proportional to 575.90, 794.86 and 327.24

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Solution

The fourth proportional to 575.90, 794.86 and 327.24 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.90 : 794.86 = 327.24 : x
  2. Step 2: Convert to fraction form
    575.90/794.86 = 327.24/x
  3. Step 3: Cross multiply
    575.90x = 794.86 × 327.24
  4. Step 4: Simplify right side
    575.90x = 260,109.17
  5. Step 5: Solve for x
    x = 260,109.17/575.90
  6. Step 6: Final answer
    x = 451.66

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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.