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Finding the Fourth Proportional to 412.13, 568.92 and 294.35

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Solution

The fourth proportional to 412.13, 568.92 and 294.35 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 568.92 = 294.35 : x
  2. Step 2: Convert to fraction form
    412.13/568.92 = 294.35/x
  3. Step 3: Cross multiply
    412.13x = 568.92 × 294.35
  4. Step 4: Simplify right side
    412.13x = 167,458.76
  5. Step 5: Solve for x
    x = 167,458.76/412.13
  6. Step 6: Final answer
    x = 406.33

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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.