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Finding the Fourth Proportional to 571.40, 788.62 and 431.68

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Solution

The fourth proportional to 571.40, 788.62 and 431.68 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 788.62 = 431.68 : x
  2. Step 2: Convert to fraction form
    571.40/788.62 = 431.68/x
  3. Step 3: Cross multiply
    571.40x = 788.62 × 431.68
  4. Step 4: Simplify right side
    571.40x = 340,427.54
  5. Step 5: Solve for x
    x = 340,427.54/571.40
  6. Step 6: Final answer
    x = 595.78

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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.