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Finding the Fourth Proportional to 412.83, 569.97 and 247.05

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Solution

The fourth proportional to 412.83, 569.97 and 247.05 is: 341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.97 = 247.05 : x
  2. Step 2: Convert to fraction form
    412.83/569.97 = 247.05/x
  3. Step 3: Cross multiply
    412.83x = 569.97 × 247.05
  4. Step 4: Simplify right side
    412.83x = 140,811.09
  5. Step 5: Solve for x
    x = 140,811.09/412.83
  6. Step 6: Final answer
    x = 341.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.