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Finding the Fourth Proportional to 571.16, 788.22 and 319.07

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Solution

The fourth proportional to 571.16, 788.22 and 319.07 is: 440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 788.22 = 319.07 : x
  2. Step 2: Convert to fraction form
    571.16/788.22 = 319.07/x
  3. Step 3: Cross multiply
    571.16x = 788.22 × 319.07
  4. Step 4: Simplify right side
    571.16x = 251,493.41
  5. Step 5: Solve for x
    x = 251,493.41/571.16
  6. Step 6: Final answer
    x = 440.32

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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.