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Finding the Fourth Proportional to 417.30, 628.43 and 363.84

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Solution

The fourth proportional to 417.30, 628.43 and 363.84 is: 547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 628.43 = 363.84 : x
  2. Step 2: Convert to fraction form
    417.30/628.43 = 363.84/x
  3. Step 3: Cross multiply
    417.30x = 628.43 × 363.84
  4. Step 4: Simplify right side
    417.30x = 228,647.97
  5. Step 5: Solve for x
    x = 228,647.97/417.30
  6. Step 6: Final answer
    x = 547.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.