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Finding the Fourth Proportional to 412.46, 569.33 and 265.49

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Solution

The fourth proportional to 412.46, 569.33 and 265.49 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 569.33 = 265.49 : x
  2. Step 2: Convert to fraction form
    412.46/569.33 = 265.49/x
  3. Step 3: Cross multiply
    412.46x = 569.33 × 265.49
  4. Step 4: Simplify right side
    412.46x = 151,147.25
  5. Step 5: Solve for x
    x = 151,147.25/412.46
  6. Step 6: Final answer
    x = 366.46

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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.