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Finding the Fourth Proportional to 571.20, 788.03 and 322.46

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Solution

The fourth proportional to 571.20, 788.03 and 322.46 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.20 : 788.03 = 322.46 : x
  2. Step 2: Convert to fraction form
    571.20/788.03 = 322.46/x
  3. Step 3: Cross multiply
    571.20x = 788.03 × 322.46
  4. Step 4: Simplify right side
    571.20x = 254,106.77
  5. Step 5: Solve for x
    x = 254,106.77/571.20
  6. Step 6: Final answer
    x = 444.87

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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.