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Finding the Fourth Proportional to 571.41, 788.47 and 394.02

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Solution

The fourth proportional to 571.41, 788.47 and 394.02 is: 543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 788.47 = 394.02 : x
  2. Step 2: Convert to fraction form
    571.41/788.47 = 394.02/x
  3. Step 3: Cross multiply
    571.41x = 788.47 × 394.02
  4. Step 4: Simplify right side
    571.41x = 310,671.96
  5. Step 5: Solve for x
    x = 310,671.96/571.41
  6. Step 6: Final answer
    x = 543.69

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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.