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Finding the Fourth Proportional to 345.92, 518.24 and 294.62

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Solution

The fourth proportional to 345.92, 518.24 and 294.62 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 518.24 = 294.62 : x
  2. Step 2: Convert to fraction form
    345.92/518.24 = 294.62/x
  3. Step 3: Cross multiply
    345.92x = 518.24 × 294.62
  4. Step 4: Simplify right side
    345.92x = 152,682.01
  5. Step 5: Solve for x
    x = 152,682.01/345.92
  6. Step 6: Final answer
    x = 441.39

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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.