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Finding the Fourth Proportional to 412.64, 569.14 and 265.13

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Solution

The fourth proportional to 412.64, 569.14 and 265.13 is: 365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 569.14 = 265.13 : x
  2. Step 2: Convert to fraction form
    412.64/569.14 = 265.13/x
  3. Step 3: Cross multiply
    412.64x = 569.14 × 265.13
  4. Step 4: Simplify right side
    412.64x = 150,896.09
  5. Step 5: Solve for x
    x = 150,896.09/412.64
  6. Step 6: Final answer
    x = 365.68

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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.