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Finding the Fourth Proportional to 412.85, 569.72 and 226.34

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Solution

The fourth proportional to 412.85, 569.72 and 226.34 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 569.72 = 226.34 : x
  2. Step 2: Convert to fraction form
    412.85/569.72 = 226.34/x
  3. Step 3: Cross multiply
    412.85x = 569.72 × 226.34
  4. Step 4: Simplify right side
    412.85x = 128,950.42
  5. Step 5: Solve for x
    x = 128,950.42/412.85
  6. Step 6: Final answer
    x = 312.34

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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.