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Finding the Fourth Proportional to 410.44, 614.94 and 349

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Solution

The fourth proportional to 410.44, 614.94 and 349 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.44 : 614.94 = 349 : x
  2. Step 2: Convert to fraction form
    410.44/614.94 = 349/x
  3. Step 3: Cross multiply
    410.44x = 614.94 × 349
  4. Step 4: Simplify right side
    410.44x = 214,614.06
  5. Step 5: Solve for x
    x = 214,614.06/410.44
  6. Step 6: Final answer
    x = 522.89

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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.