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Finding the Fourth Proportional to 571.23, 786.56 and 471.27

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Solution

The fourth proportional to 571.23, 786.56 and 471.27 is: 648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 786.56 = 471.27 : x
  2. Step 2: Convert to fraction form
    571.23/786.56 = 471.27/x
  3. Step 3: Cross multiply
    571.23x = 786.56 × 471.27
  4. Step 4: Simplify right side
    571.23x = 370,683.31
  5. Step 5: Solve for x
    x = 370,683.31/571.23
  6. Step 6: Final answer
    x = 648.92

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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.