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Finding the Fourth Proportional to 412.49, 569.24 and 225.98

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Solution

The fourth proportional to 412.49, 569.24 and 225.98 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 569.24 = 225.98 : x
  2. Step 2: Convert to fraction form
    412.49/569.24 = 225.98/x
  3. Step 3: Cross multiply
    412.49x = 569.24 × 225.98
  4. Step 4: Simplify right side
    412.49x = 128,636.86
  5. Step 5: Solve for x
    x = 128,636.86/412.49
  6. Step 6: Final answer
    x = 311.85

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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.