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Finding the Fourth Proportional to 574.82, 792.73 and 486.49

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Solution

The fourth proportional to 574.82, 792.73 and 486.49 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 792.73 = 486.49 : x
  2. Step 2: Convert to fraction form
    574.82/792.73 = 486.49/x
  3. Step 3: Cross multiply
    574.82x = 792.73 × 486.49
  4. Step 4: Simplify right side
    574.82x = 385,655.22
  5. Step 5: Solve for x
    x = 385,655.22/574.82
  6. Step 6: Final answer
    x = 670.91

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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.