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Finding the Fourth Proportional to 571.41, 855.57 and 397.71

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Solution

The fourth proportional to 571.41, 855.57 and 397.71 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 855.57 = 397.71 : x
  2. Step 2: Convert to fraction form
    571.41/855.57 = 397.71/x
  3. Step 3: Cross multiply
    571.41x = 855.57 × 397.71
  4. Step 4: Simplify right side
    571.41x = 340,268.74
  5. Step 5: Solve for x
    x = 340,268.74/571.41
  6. Step 6: Final answer
    x = 595.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.