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Finding the Fourth Proportional to 339.05, 468.13 and 265.24

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Solution

The fourth proportional to 339.05, 468.13 and 265.24 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 468.13 = 265.24 : x
  2. Step 2: Convert to fraction form
    339.05/468.13 = 265.24/x
  3. Step 3: Cross multiply
    339.05x = 468.13 × 265.24
  4. Step 4: Simplify right side
    339.05x = 124,167.22
  5. Step 5: Solve for x
    x = 124,167.22/339.05
  6. Step 6: Final answer
    x = 366.22

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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.