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Finding the Fourth Proportional to 628.23, 866.34 and 471.24

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Solution

The fourth proportional to 628.23, 866.34 and 471.24 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.23 : 866.34 = 471.24 : x
  2. Step 2: Convert to fraction form
    628.23/866.34 = 471.24/x
  3. Step 3: Cross multiply
    628.23x = 866.34 × 471.24
  4. Step 4: Simplify right side
    628.23x = 408,254.06
  5. Step 5: Solve for x
    x = 408,254.06/628.23
  6. Step 6: Final answer
    x = 649.85

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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.