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Finding the Fourth Proportional to 625.86, 863.62 and 346.02

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Solution

The fourth proportional to 625.86, 863.62 and 346.02 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.86 : 863.62 = 346.02 : x
  2. Step 2: Convert to fraction form
    625.86/863.62 = 346.02/x
  3. Step 3: Cross multiply
    625.86x = 863.62 × 346.02
  4. Step 4: Simplify right side
    625.86x = 298,825.69
  5. Step 5: Solve for x
    x = 298,825.69/625.86
  6. Step 6: Final answer
    x = 477.46

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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.