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Finding the Fourth Proportional to 412.21, 569.10 and 265.05

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Solution

The fourth proportional to 412.21, 569.10 and 265.05 is: 365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.21 : 569.10 = 265.05 : x
  2. Step 2: Convert to fraction form
    412.21/569.10 = 265.05/x
  3. Step 3: Cross multiply
    412.21x = 569.10 × 265.05
  4. Step 4: Simplify right side
    412.21x = 150,839.96
  5. Step 5: Solve for x
    x = 150,839.96/412.21
  6. Step 6: Final answer
    x = 365.93

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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.