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Finding the Fourth Proportional to 628.82, 867.48 and 418.94

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Solution

The fourth proportional to 628.82, 867.48 and 418.94 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.82 : 867.48 = 418.94 : x
  2. Step 2: Convert to fraction form
    628.82/867.48 = 418.94/x
  3. Step 3: Cross multiply
    628.82x = 867.48 × 418.94
  4. Step 4: Simplify right side
    628.82x = 363,422.07
  5. Step 5: Solve for x
    x = 363,422.07/628.82
  6. Step 6: Final answer
    x = 577.94

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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.