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Finding the Fourth Proportional to 574.45, 792.76 and 325.76

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Solution

The fourth proportional to 574.45, 792.76 and 325.76 is: 449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.45 : 792.76 = 325.76 : x
  2. Step 2: Convert to fraction form
    574.45/792.76 = 325.76/x
  3. Step 3: Cross multiply
    574.45x = 792.76 × 325.76
  4. Step 4: Simplify right side
    574.45x = 258,246.70
  5. Step 5: Solve for x
    x = 258,246.70/574.45
  6. Step 6: Final answer
    x = 449.55

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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.