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Finding the Fourth Proportional to 625.47, 938.29 and 214.71

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Solution

The fourth proportional to 625.47, 938.29 and 214.71 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.47 : 938.29 = 214.71 : x
  2. Step 2: Convert to fraction form
    625.47/938.29 = 214.71/x
  3. Step 3: Cross multiply
    625.47x = 938.29 × 214.71
  4. Step 4: Simplify right side
    625.47x = 201,460.25
  5. Step 5: Solve for x
    x = 201,460.25/625.47
  6. Step 6: Final answer
    x = 322.09

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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.