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Finding the Fourth Proportional to 571.29, 788.31 and 322.58

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Solution

The fourth proportional to 571.29, 788.31 and 322.58 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 788.31 = 322.58 : x
  2. Step 2: Convert to fraction form
    571.29/788.31 = 322.58/x
  3. Step 3: Cross multiply
    571.29x = 788.31 × 322.58
  4. Step 4: Simplify right side
    571.29x = 254,289.10
  5. Step 5: Solve for x
    x = 254,289.10/571.29
  6. Step 6: Final answer
    x = 445.11

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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.