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Finding the Fourth Proportional to 412.49, 569.16 and 265.11

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Solution

The fourth proportional to 412.49, 569.16 and 265.11 is: 365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 569.16 = 265.11 : x
  2. Step 2: Convert to fraction form
    412.49/569.16 = 265.11/x
  3. Step 3: Cross multiply
    412.49x = 569.16 × 265.11
  4. Step 4: Simplify right side
    412.49x = 150,887.87
  5. Step 5: Solve for x
    x = 150,887.87/412.49
  6. Step 6: Final answer
    x = 365.80

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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.