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Finding the Fourth Proportional to 571.30, 788.36 and 322.64

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Solution

The fourth proportional to 571.30, 788.36 and 322.64 is: 445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.30 : 788.36 = 322.64 : x
  2. Step 2: Convert to fraction form
    571.30/788.36 = 322.64/x
  3. Step 3: Cross multiply
    571.30x = 788.36 × 322.64
  4. Step 4: Simplify right side
    571.30x = 254,356.47
  5. Step 5: Solve for x
    x = 254,356.47/571.30
  6. Step 6: Final answer
    x = 445.22

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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.