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Finding the Fourth Proportional to 571.69, 788.96 and 332.49

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Solution

The fourth proportional to 571.69, 788.96 and 332.49 is: 458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.69 : 788.96 = 332.49 : x
  2. Step 2: Convert to fraction form
    571.69/788.96 = 332.49/x
  3. Step 3: Cross multiply
    571.69x = 788.96 × 332.49
  4. Step 4: Simplify right side
    571.69x = 262,321.31
  5. Step 5: Solve for x
    x = 262,321.31/571.69
  6. Step 6: Final answer
    x = 458.85

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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.