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Finding the Fourth Proportional to 334.69, 461.77 and 264.76

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Solution

The fourth proportional to 334.69, 461.77 and 264.76 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 461.77 = 264.76 : x
  2. Step 2: Convert to fraction form
    334.69/461.77 = 264.76/x
  3. Step 3: Cross multiply
    334.69x = 461.77 × 264.76
  4. Step 4: Simplify right side
    334.69x = 122,256.41
  5. Step 5: Solve for x
    x = 122,256.41/334.69
  6. Step 6: Final answer
    x = 365.29

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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.