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Finding the Fourth Proportional to 559.90, 771.21 and 471.27

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Solution

The fourth proportional to 559.90, 771.21 and 471.27 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.90 : 771.21 = 471.27 : x
  2. Step 2: Convert to fraction form
    559.90/771.21 = 471.27/x
  3. Step 3: Cross multiply
    559.90x = 771.21 × 471.27
  4. Step 4: Simplify right side
    559.90x = 363,448.14
  5. Step 5: Solve for x
    x = 363,448.14/559.90
  6. Step 6: Final answer
    x = 649.13

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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.