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Finding the Fourth Proportional to 353.43, 533.25 and 346.14

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Solution

The fourth proportional to 353.43, 533.25 and 346.14 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.43 : 533.25 = 346.14 : x
  2. Step 2: Convert to fraction form
    353.43/533.25 = 346.14/x
  3. Step 3: Cross multiply
    353.43x = 533.25 × 346.14
  4. Step 4: Simplify right side
    353.43x = 184,579.16
  5. Step 5: Solve for x
    x = 184,579.16/353.43
  6. Step 6: Final answer
    x = 522.25

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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.