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Finding the Fourth Proportional to 412.86, 569.64 and 247.14

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Solution

The fourth proportional to 412.86, 569.64 and 247.14 is: 340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 569.64 = 247.14 : x
  2. Step 2: Convert to fraction form
    412.86/569.64 = 247.14/x
  3. Step 3: Cross multiply
    412.86x = 569.64 × 247.14
  4. Step 4: Simplify right side
    412.86x = 140,780.83
  5. Step 5: Solve for x
    x = 140,780.83/412.86
  6. Step 6: Final answer
    x = 340.99

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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.