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Finding the Fourth Proportional to 628.64, 866.56 and 418.48

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Solution

The fourth proportional to 628.64, 866.56 and 418.48 is: 576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.64 : 866.56 = 418.48 : x
  2. Step 2: Convert to fraction form
    628.64/866.56 = 418.48/x
  3. Step 3: Cross multiply
    628.64x = 866.56 × 418.48
  4. Step 4: Simplify right side
    628.64x = 362,638.03
  5. Step 5: Solve for x
    x = 362,638.03/628.64
  6. Step 6: Final answer
    x = 576.86

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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.