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Finding the Fourth Proportional to 625.47, 937.98 and 214.50

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Solution

The fourth proportional to 625.47, 937.98 and 214.50 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.47 : 937.98 = 214.50 : x
  2. Step 2: Convert to fraction form
    625.47/937.98 = 214.50/x
  3. Step 3: Cross multiply
    625.47x = 937.98 × 214.50
  4. Step 4: Simplify right side
    625.47x = 201,196.71
  5. Step 5: Solve for x
    x = 201,196.71/625.47
  6. Step 6: Final answer
    x = 321.67

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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.