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Finding the Fourth Proportional to 628.38, 866.34 and 406.98

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Solution

The fourth proportional to 628.38, 866.34 and 406.98 is: 561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.38 : 866.34 = 406.98 : x
  2. Step 2: Convert to fraction form
    628.38/866.34 = 406.98/x
  3. Step 3: Cross multiply
    628.38x = 866.34 × 406.98
  4. Step 4: Simplify right side
    628.38x = 352,583.05
  5. Step 5: Solve for x
    x = 352,583.05/628.38
  6. Step 6: Final answer
    x = 561.10

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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.