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Finding the Fourth Proportional to 264.33, 366.30 and 259.47

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Solution

The fourth proportional to 264.33, 366.30 and 259.47 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.33 : 366.30 = 259.47 : x
  2. Step 2: Convert to fraction form
    264.33/366.30 = 259.47/x
  3. Step 3: Cross multiply
    264.33x = 366.30 × 259.47
  4. Step 4: Simplify right side
    264.33x = 95,043.86
  5. Step 5: Solve for x
    x = 95,043.86/264.33
  6. Step 6: Final answer
    x = 359.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.