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Finding the Fourth Proportional to 564.70, 779.24 and 471.21

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Solution

The fourth proportional to 564.70, 779.24 and 471.21 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 779.24 = 471.21 : x
  2. Step 2: Convert to fraction form
    564.70/779.24 = 471.21/x
  3. Step 3: Cross multiply
    564.70x = 779.24 × 471.21
  4. Step 4: Simplify right side
    564.70x = 367,186.86
  5. Step 5: Solve for x
    x = 367,186.86/564.70
  6. Step 6: Final answer
    x = 650.24

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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.