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Finding the Fourth Proportional to 486.69, 671.62 and 265.64

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Solution

The fourth proportional to 486.69, 671.62 and 265.64 is: 366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.69 : 671.62 = 265.64 : x
  2. Step 2: Convert to fraction form
    486.69/671.62 = 265.64/x
  3. Step 3: Cross multiply
    486.69x = 671.62 × 265.64
  4. Step 4: Simplify right side
    486.69x = 178,409.14
  5. Step 5: Solve for x
    x = 178,409.14/486.69
  6. Step 6: Final answer
    x = 366.58

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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.