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Finding the Fourth Proportional to 412.57, 569.35 and 226.07

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Solution

The fourth proportional to 412.57, 569.35 and 226.07 is: 311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 569.35 = 226.07 : x
  2. Step 2: Convert to fraction form
    412.57/569.35 = 226.07/x
  3. Step 3: Cross multiply
    412.57x = 569.35 × 226.07
  4. Step 4: Simplify right side
    412.57x = 128,712.95
  5. Step 5: Solve for x
    x = 128,712.95/412.57
  6. Step 6: Final answer
    x = 311.98

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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.