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Finding the Fourth Proportional to 571.43, 786.53 and 477.11

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Solution

The fourth proportional to 571.43, 786.53 and 477.11 is: 656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.43 : 786.53 = 477.11 : x
  2. Step 2: Convert to fraction form
    571.43/786.53 = 477.11/x
  3. Step 3: Cross multiply
    571.43x = 786.53 × 477.11
  4. Step 4: Simplify right side
    571.43x = 375,261.33
  5. Step 5: Solve for x
    x = 375,261.33/571.43
  6. Step 6: Final answer
    x = 656.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.