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Finding the Fourth Proportional to 571.03, 788.03 and 322.33

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Solution

The fourth proportional to 571.03, 788.03 and 322.33 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.03 : 788.03 = 322.33 : x
  2. Step 2: Convert to fraction form
    571.03/788.03 = 322.33/x
  3. Step 3: Cross multiply
    571.03x = 788.03 × 322.33
  4. Step 4: Simplify right side
    571.03x = 254,004.55
  5. Step 5: Solve for x
    x = 254,004.55/571.03
  6. Step 6: Final answer
    x = 444.82

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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.