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Finding the Fourth Proportional to 625.68, 863.28 and 418.68

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Solution

The fourth proportional to 625.68, 863.28 and 418.68 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.68 : 863.28 = 418.68 : x
  2. Step 2: Convert to fraction form
    625.68/863.28 = 418.68/x
  3. Step 3: Cross multiply
    625.68x = 863.28 × 418.68
  4. Step 4: Simplify right side
    625.68x = 361,438.07
  5. Step 5: Solve for x
    x = 361,438.07/625.68
  6. Step 6: Final answer
    x = 577.67

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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.