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Finding the Fourth Proportional to 410.02, 614.67 and 214.75

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Solution

The fourth proportional to 410.02, 614.67 and 214.75 is: 321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.02 : 614.67 = 214.75 : x
  2. Step 2: Convert to fraction form
    410.02/614.67 = 214.75/x
  3. Step 3: Cross multiply
    410.02x = 614.67 × 214.75
  4. Step 4: Simplify right side
    410.02x = 132,000.38
  5. Step 5: Solve for x
    x = 132,000.38/410.02
  6. Step 6: Final answer
    x = 321.94

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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.