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Finding the Fourth Proportional to 571.82, 788.73 and 397.04

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Solution

The fourth proportional to 571.82, 788.73 and 397.04 is: 547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 788.73 = 397.04 : x
  2. Step 2: Convert to fraction form
    571.82/788.73 = 397.04/x
  3. Step 3: Cross multiply
    571.82x = 788.73 × 397.04
  4. Step 4: Simplify right side
    571.82x = 313,157.36
  5. Step 5: Solve for x
    x = 313,157.36/571.82
  6. Step 6: Final answer
    x = 547.65

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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.