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Finding the Fourth Proportional to 574.44, 792.71 and 322.35

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Solution

The fourth proportional to 574.44, 792.71 and 322.35 is: 444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.44 : 792.71 = 322.35 : x
  2. Step 2: Convert to fraction form
    574.44/792.71 = 322.35/x
  3. Step 3: Cross multiply
    574.44x = 792.71 × 322.35
  4. Step 4: Simplify right side
    574.44x = 255,526.69
  5. Step 5: Solve for x
    x = 255,526.69/574.44
  6. Step 6: Final answer
    x = 444.83

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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.