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Finding the Fourth Proportional to 628, 866.08 and 406.73

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Solution

The fourth proportional to 628, 866.08 and 406.73 is: 560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    628 : 866.08 = 406.73 : x
  2. Step 2: Convert to fraction form
    628/866.08 = 406.73/x
  3. Step 3: Cross multiply
    628x = 866.08 × 406.73
  4. Step 4: Simplify right side
    628x = 352,260.72
  5. Step 5: Solve for x
    x = 352,260.72/628
  6. Step 6: Final answer
    x = 560.92

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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.