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Finding the Fourth Proportional to 412.35, 569.24 and 265.02

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Solution

The fourth proportional to 412.35, 569.24 and 265.02 is: 365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 569.24 = 265.02 : x
  2. Step 2: Convert to fraction form
    412.35/569.24 = 265.02/x
  3. Step 3: Cross multiply
    412.35x = 569.24 × 265.02
  4. Step 4: Simplify right side
    412.35x = 150,859.98
  5. Step 5: Solve for x
    x = 150,859.98/412.35
  6. Step 6: Final answer
    x = 365.85

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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.