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Finding the Fourth Proportional to 571.60, 788.86 and 322.98

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Solution

The fourth proportional to 571.60, 788.86 and 322.98 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 788.86 = 322.98 : x
  2. Step 2: Convert to fraction form
    571.60/788.86 = 322.98/x
  3. Step 3: Cross multiply
    571.60x = 788.86 × 322.98
  4. Step 4: Simplify right side
    571.60x = 254,786.00
  5. Step 5: Solve for x
    x = 254,786.00/571.60
  6. Step 6: Final answer
    x = 445.74

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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.