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Finding the Fourth Proportional to 571.57, 788.80 and 322.90

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Solution

The fourth proportional to 571.57, 788.80 and 322.90 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.57 : 788.80 = 322.90 : x
  2. Step 2: Convert to fraction form
    571.57/788.80 = 322.90/x
  3. Step 3: Cross multiply
    571.57x = 788.80 × 322.90
  4. Step 4: Simplify right side
    571.57x = 254,700.74
  5. Step 5: Solve for x
    x = 254,700.74/571.57
  6. Step 6: Final answer
    x = 445.62

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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.