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Finding the Fourth Proportional to 346.10, 522.14 and 329.02

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Solution

The fourth proportional to 346.10, 522.14 and 329.02 is: 496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 522.14 = 329.02 : x
  2. Step 2: Convert to fraction form
    346.10/522.14 = 329.02/x
  3. Step 3: Cross multiply
    346.10x = 522.14 × 329.02
  4. Step 4: Simplify right side
    346.10x = 171,791.55
  5. Step 5: Solve for x
    x = 171,791.55/346.10
  6. Step 6: Final answer
    x = 496.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.