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Finding the Fourth Proportional to 571.62, 855.93 and 397.77

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Solution

The fourth proportional to 571.62, 855.93 and 397.77 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 855.93 = 397.77 : x
  2. Step 2: Convert to fraction form
    571.62/855.93 = 397.77/x
  3. Step 3: Cross multiply
    571.62x = 855.93 × 397.77
  4. Step 4: Simplify right side
    571.62x = 340,463.28
  5. Step 5: Solve for x
    x = 340,463.28/571.62
  6. Step 6: Final answer
    x = 595.61

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