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Finding the Fourth Proportional to 625.17, 937.80 and 214.35

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Solution

The fourth proportional to 625.17, 937.80 and 214.35 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.17 : 937.80 = 214.35 : x
  2. Step 2: Convert to fraction form
    625.17/937.80 = 214.35/x
  3. Step 3: Cross multiply
    625.17x = 937.80 × 214.35
  4. Step 4: Simplify right side
    625.17x = 201,017.43
  5. Step 5: Solve for x
    x = 201,017.43/625.17
  6. Step 6: Final answer
    x = 321.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.