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Finding the Fourth Proportional to 412.48, 569.06 and 265.19

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Solution

The fourth proportional to 412.48, 569.06 and 265.19 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 569.06 = 265.19 : x
  2. Step 2: Convert to fraction form
    412.48/569.06 = 265.19/x
  3. Step 3: Cross multiply
    412.48x = 569.06 × 265.19
  4. Step 4: Simplify right side
    412.48x = 150,909.68
  5. Step 5: Solve for x
    x = 150,909.68/412.48
  6. Step 6: Final answer
    x = 365.86

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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.