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Finding the Fourth Proportional to 346.92, 519.74 and 295.62

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Solution

The fourth proportional to 346.92, 519.74 and 295.62 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 519.74 = 295.62 : x
  2. Step 2: Convert to fraction form
    346.92/519.74 = 295.62/x
  3. Step 3: Cross multiply
    346.92x = 519.74 × 295.62
  4. Step 4: Simplify right side
    346.92x = 153,645.54
  5. Step 5: Solve for x
    x = 153,645.54/346.92
  6. Step 6: Final answer
    x = 442.88

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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.