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Finding the Fourth Proportional to 559.79, 771.40 and 471.28

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Solution

The fourth proportional to 559.79, 771.40 and 471.28 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.79 : 771.40 = 471.28 : x
  2. Step 2: Convert to fraction form
    559.79/771.40 = 471.28/x
  3. Step 3: Cross multiply
    559.79x = 771.40 × 471.28
  4. Step 4: Simplify right side
    559.79x = 363,542.00
  5. Step 5: Solve for x
    x = 363,542.00/559.79
  6. Step 6: Final answer
    x = 649.43

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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.