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Finding the Fourth Proportional to 574.32, 792.48 and 325.68

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Solution

The fourth proportional to 574.32, 792.48 and 325.68 is: 449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 792.48 = 325.68 : x
  2. Step 2: Convert to fraction form
    574.32/792.48 = 325.68/x
  3. Step 3: Cross multiply
    574.32x = 792.48 × 325.68
  4. Step 4: Simplify right side
    574.32x = 258,094.89
  5. Step 5: Solve for x
    x = 258,094.89/574.32
  6. Step 6: Final answer
    x = 449.39

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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.