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Finding the Fourth Proportional to 346.14, 519.84 and 273.24

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Solution

The fourth proportional to 346.14, 519.84 and 273.24 is: 410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 519.84 = 273.24 : x
  2. Step 2: Convert to fraction form
    346.14/519.84 = 273.24/x
  3. Step 3: Cross multiply
    346.14x = 519.84 × 273.24
  4. Step 4: Simplify right side
    346.14x = 142,041.08
  5. Step 5: Solve for x
    x = 142,041.08/346.14
  6. Step 6: Final answer
    x = 410.36

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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.